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Finding the Fourth Proportional to 624,854.84, 862,300.14 and 338,375.24

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Solution

The fourth proportional to 624,854.84, 862,300.14 and 338,375.24 is: 466,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,854.84 : 862,300.14 = 338,375.24 : x
  2. Step 2: Convert to fraction form
    624,854.84/862,300.14 = 338,375.24/x
  3. Step 3: Cross multiply
    624,854.84x = 862,300.14 × 338,375.24
  4. Step 4: Simplify right side
    624,854.84x = 291,781,016,824.53
  5. Step 5: Solve for x
    x = 291,781,016,824.53/624,854.84
  6. Step 6: Final answer
    x = 466,958.08

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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.