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Finding the Fourth Proportional to 474,565.59, 654,898.77 and 256,773.60

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Solution

The fourth proportional to 474,565.59, 654,898.77 and 256,773.60 is: 354,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,565.59 : 654,898.77 = 256,773.60 : x
  2. Step 2: Convert to fraction form
    474,565.59/654,898.77 = 256,773.60/x
  3. Step 3: Cross multiply
    474,565.59x = 654,898.77 × 256,773.60
  4. Step 4: Simplify right side
    474,565.59x = 168,160,714,808.47
  5. Step 5: Solve for x
    x = 168,160,714,808.47/474,565.59
  6. Step 6: Final answer
    x = 354,346.62

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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.