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Finding the Fourth Proportional to 364,839.80, 547,259.70 and 224,871.80

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Solution

The fourth proportional to 364,839.80, 547,259.70 and 224,871.80 is: 337,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,839.80 : 547,259.70 = 224,871.80 : x
  2. Step 2: Convert to fraction form
    364,839.80/547,259.70 = 224,871.80/x
  3. Step 3: Cross multiply
    364,839.80x = 547,259.70 × 224,871.80
  4. Step 4: Simplify right side
    364,839.80x = 123,063,273,806.46
  5. Step 5: Solve for x
    x = 123,063,273,806.46/364,839.80
  6. Step 6: Final answer
    x = 337,307.70

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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.