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Finding the Fourth Proportional to 384,727.74, 576,909.98 and 224,849.54

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Solution

The fourth proportional to 384,727.74, 576,909.98 and 224,849.54 is: 337,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,727.74 : 576,909.98 = 224,849.54 : x
  2. Step 2: Convert to fraction form
    384,727.74/576,909.98 = 224,849.54/x
  3. Step 3: Cross multiply
    384,727.74x = 576,909.98 × 224,849.54
  4. Step 4: Simplify right side
    384,727.74x = 129,717,943,624.41
  5. Step 5: Solve for x
    x = 129,717,943,624.41/384,727.74
  6. Step 6: Final answer
    x = 337,168.16

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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.