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Finding the Fourth Proportional to 415,746.32, 573,735.16 and 252,355.60

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Solution

The fourth proportional to 415,746.32, 573,735.16 and 252,355.60 is: 348,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,746.32 : 573,735.16 = 252,355.60 : x
  2. Step 2: Convert to fraction form
    415,746.32/573,735.16 = 252,355.60/x
  3. Step 3: Cross multiply
    415,746.32x = 573,735.16 × 252,355.60
  4. Step 4: Simplify right side
    415,746.32x = 144,785,280,542.90
  5. Step 5: Solve for x
    x = 144,785,280,542.90/415,746.32
  6. Step 6: Final answer
    x = 348,253.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.