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Finding the Fourth Proportional to 625,184.16, 862,752.96 and 338,712

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Solution

The fourth proportional to 625,184.16, 862,752.96 and 338,712 is: 467,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,184.16 : 862,752.96 = 338,712 : x
  2. Step 2: Convert to fraction form
    625,184.16/862,752.96 = 338,712/x
  3. Step 3: Cross multiply
    625,184.16x = 862,752.96 × 338,712
  4. Step 4: Simplify right side
    625,184.16x = 292,224,780,587.52
  5. Step 5: Solve for x
    x = 292,224,780,587.52/625,184.16
  6. Step 6: Final answer
    x = 467,421.92

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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.