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Finding the Fourth Proportional to 418,345.20, 577,329.12 and 257,294.88

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Solution

The fourth proportional to 418,345.20, 577,329.12 and 257,294.88 is: 355,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,345.20 : 577,329.12 = 257,294.88 : x
  2. Step 2: Convert to fraction form
    418,345.20/577,329.12 = 257,294.88/x
  3. Step 3: Cross multiply
    418,345.20x = 577,329.12 × 257,294.88
  4. Step 4: Simplify right side
    418,345.20x = 148,543,826,650.91
  5. Step 5: Solve for x
    x = 148,543,826,650.91/418,345.20
  6. Step 6: Final answer
    x = 355,074.77

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