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Finding the Fourth Proportional to 522,057.40, 783,086.10 and 189,590.20

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Solution

The fourth proportional to 522,057.40, 783,086.10 and 189,590.20 is: 284,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.40 : 783,086.10 = 189,590.20 : x
  2. Step 2: Convert to fraction form
    522,057.40/783,086.10 = 189,590.20/x
  3. Step 3: Cross multiply
    522,057.40x = 783,086.10 × 189,590.20
  4. Step 4: Simplify right side
    522,057.40x = 148,465,450,316.22
  5. Step 5: Solve for x
    x = 148,465,450,316.22/522,057.40
  6. Step 6: Final answer
    x = 284,385.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.