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Finding the Fourth Proportional to 624,646.38, 862,012.29 and 338,166.47

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Solution

The fourth proportional to 624,646.38, 862,012.29 and 338,166.47 is: 466,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,646.38 : 862,012.29 = 338,166.47 : x
  2. Step 2: Convert to fraction form
    624,646.38/862,012.29 = 338,166.47/x
  3. Step 3: Cross multiply
    624,646.38x = 862,012.29 × 338,166.47
  4. Step 4: Simplify right side
    624,646.38x = 291,503,648,895.86
  5. Step 5: Solve for x
    x = 291,503,648,895.86/624,646.38
  6. Step 6: Final answer
    x = 466,669.88

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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.