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Finding the Fourth Proportional to 359,211.54, 538,817.31 and 159,484.98

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Solution

The fourth proportional to 359,211.54, 538,817.31 and 159,484.98 is: 239,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,211.54 : 538,817.31 = 159,484.98 : x
  2. Step 2: Convert to fraction form
    359,211.54/538,817.31 = 159,484.98/x
  3. Step 3: Cross multiply
    359,211.54x = 538,817.31 × 159,484.98
  4. Step 4: Simplify right side
    359,211.54x = 85,933,267,909.00
  5. Step 5: Solve for x
    x = 85,933,267,909.00/359,211.54
  6. Step 6: Final answer
    x = 239,227.47

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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.