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Finding the Fourth Proportional to 522,094.20, 783,141.30 and 459,886.20

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Solution

The fourth proportional to 522,094.20, 783,141.30 and 459,886.20 is: 689,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,094.20 : 783,141.30 = 459,886.20 : x
  2. Step 2: Convert to fraction form
    522,094.20/783,141.30 = 459,886.20/x
  3. Step 3: Cross multiply
    522,094.20x = 783,141.30 × 459,886.20
  4. Step 4: Simplify right side
    522,094.20x = 360,155,876,520.06
  5. Step 5: Solve for x
    x = 360,155,876,520.06/522,094.20
  6. Step 6: Final answer
    x = 689,829.30

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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.