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Finding the Fourth Proportional to 384,251.13, 576,404.34 and 147,593.82

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Solution

The fourth proportional to 384,251.13, 576,404.34 and 147,593.82 is: 221,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,251.13 : 576,404.34 = 147,593.82 : x
  2. Step 2: Convert to fraction form
    384,251.13/576,404.34 = 147,593.82/x
  3. Step 3: Cross multiply
    384,251.13x = 576,404.34 × 147,593.82
  4. Step 4: Simplify right side
    384,251.13x = 85,073,718,405.18
  5. Step 5: Solve for x
    x = 85,073,718,405.18/384,251.13
  6. Step 6: Final answer
    x = 221,401.35

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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.