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Finding the Fourth Proportional to 614,327.56, 847,780.52 and 342,387.88

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Solution

The fourth proportional to 614,327.56, 847,780.52 and 342,387.88 is: 472,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,327.56 : 847,780.52 = 342,387.88 : x
  2. Step 2: Convert to fraction form
    614,327.56/847,780.52 = 342,387.88/x
  3. Step 3: Cross multiply
    614,327.56x = 847,780.52 × 342,387.88
  4. Step 4: Simplify right side
    614,327.56x = 290,269,774,948.10
  5. Step 5: Solve for x
    x = 290,269,774,948.10/614,327.56
  6. Step 6: Final answer
    x = 472,500.00

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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.