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Finding the Fourth Proportional to 522,093.90, 783,140.85 and 433,524.30

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Solution

The fourth proportional to 522,093.90, 783,140.85 and 433,524.30 is: 650,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,093.90 : 783,140.85 = 433,524.30 : x
  2. Step 2: Convert to fraction form
    522,093.90/783,140.85 = 433,524.30/x
  3. Step 3: Cross multiply
    522,093.90x = 783,140.85 × 433,524.30
  4. Step 4: Simplify right side
    522,093.90x = 339,510,588,797.66
  5. Step 5: Solve for x
    x = 339,510,588,797.66/522,093.90
  6. Step 6: Final answer
    x = 650,286.45

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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.