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Finding the Fourth Proportional to 384,443.74, 576,711.78 and 159,956.09

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Solution

The fourth proportional to 384,443.74, 576,711.78 and 159,956.09 is: 239,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,443.74 : 576,711.78 = 159,956.09 : x
  2. Step 2: Convert to fraction form
    384,443.74/576,711.78 = 159,956.09/x
  3. Step 3: Cross multiply
    384,443.74x = 576,711.78 × 159,956.09
  4. Step 4: Simplify right side
    384,443.74x = 92,248,561,385.74
  5. Step 5: Solve for x
    x = 92,248,561,385.74/384,443.74
  6. Step 6: Final answer
    x = 239,953.35

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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.