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Finding the Fourth Proportional to 359,184, 538,778.70 and 159,450.69

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Solution

The fourth proportional to 359,184, 538,778.70 and 159,450.69 is: 239,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,184 : 538,778.70 = 159,450.69 : x
  2. Step 2: Convert to fraction form
    359,184/538,778.70 = 159,450.69/x
  3. Step 3: Cross multiply
    359,184x = 538,778.70 × 159,450.69
  4. Step 4: Simplify right side
    359,184x = 85,908,635,472.30
  5. Step 5: Solve for x
    x = 85,908,635,472.30/359,184
  6. Step 6: Final answer
    x = 239,177.23

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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.