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Finding the Fourth Proportional to 384,359.68, 576,342.38 and 224,747.47

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Solution

The fourth proportional to 384,359.68, 576,342.38 and 224,747.47 is: 337,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,359.68 : 576,342.38 = 224,747.47 : x
  2. Step 2: Convert to fraction form
    384,359.68/576,342.38 = 224,747.47/x
  3. Step 3: Cross multiply
    384,359.68x = 576,342.38 × 224,747.47
  4. Step 4: Simplify right side
    384,359.68x = 129,531,490,879.79
  5. Step 5: Solve for x
    x = 129,531,490,879.79/384,359.68
  6. Step 6: Final answer
    x = 337,005.93

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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.