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Finding the Fourth Proportional to 359,163.47, 538,747.90 and 159,430.16

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Solution

The fourth proportional to 359,163.47, 538,747.90 and 159,430.16 is: 239,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,163.47 : 538,747.90 = 159,430.16 : x
  2. Step 2: Convert to fraction form
    359,163.47/538,747.90 = 159,430.16/x
  3. Step 3: Cross multiply
    359,163.47x = 538,747.90 × 159,430.16
  4. Step 4: Simplify right side
    359,163.47x = 85,892,663,721.45
  5. Step 5: Solve for x
    x = 85,892,663,721.45/359,163.47
  6. Step 6: Final answer
    x = 239,146.44

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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.