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Finding the Fourth Proportional to 384,487.54, 576,404.16 and 234,832.82

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Solution

The fourth proportional to 384,487.54, 576,404.16 and 234,832.82 is: 352,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,487.54 : 576,404.16 = 234,832.82 : x
  2. Step 2: Convert to fraction form
    384,487.54/576,404.16 = 234,832.82/x
  3. Step 3: Cross multiply
    384,487.54x = 576,404.16 × 234,832.82
  4. Step 4: Simplify right side
    384,487.54x = 135,358,614,352.53
  5. Step 5: Solve for x
    x = 135,358,614,352.53/384,487.54
  6. Step 6: Final answer
    x = 352,049.42

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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.