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Finding the Fourth Proportional to 384,859.69, 577,384.13 and 132,143.87

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Solution

The fourth proportional to 384,859.69, 577,384.13 and 132,143.87 is: 198,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,859.69 : 577,384.13 = 132,143.87 : x
  2. Step 2: Convert to fraction form
    384,859.69/577,384.13 = 132,143.87/x
  3. Step 3: Cross multiply
    384,859.69x = 577,384.13 × 132,143.87
  4. Step 4: Simplify right side
    384,859.69x = 76,297,775,188.60
  5. Step 5: Solve for x
    x = 76,297,775,188.60/384,859.69
  6. Step 6: Final answer
    x = 198,248.29

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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.