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Finding the Fourth Proportional to 364,839.30, 547,258.95 and 224,871.30

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Solution

The fourth proportional to 364,839.30, 547,258.95 and 224,871.30 is: 337,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,839.30 : 547,258.95 = 224,871.30 : x
  2. Step 2: Convert to fraction form
    364,839.30/547,258.95 = 224,871.30/x
  3. Step 3: Cross multiply
    364,839.30x = 547,258.95 × 224,871.30
  4. Step 4: Simplify right side
    364,839.30x = 123,062,831,523.14
  5. Step 5: Solve for x
    x = 123,062,831,523.14/364,839.30
  6. Step 6: Final answer
    x = 337,306.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.