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Finding the Fourth Proportional to 416,221.43, 624,306.51 and 256,327.83

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Solution

The fourth proportional to 416,221.43, 624,306.51 and 256,327.83 is: 384,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,221.43 : 624,306.51 = 256,327.83 : x
  2. Step 2: Convert to fraction form
    416,221.43/624,306.51 = 256,327.83/x
  3. Step 3: Cross multiply
    416,221.43x = 624,306.51 × 256,327.83
  4. Step 4: Simplify right side
    416,221.43x = 160,027,132,963.17
  5. Step 5: Solve for x
    x = 160,027,132,963.17/416,221.43
  6. Step 6: Final answer
    x = 384,475.96

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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.