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Finding the Fourth Proportional to 359,164.47, 538,749.40 and 159,431.16

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Solution

The fourth proportional to 359,164.47, 538,749.40 and 159,431.16 is: 239,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,164.47 : 538,749.40 = 159,431.16 : x
  2. Step 2: Convert to fraction form
    359,164.47/538,749.40 = 159,431.16/x
  3. Step 3: Cross multiply
    359,164.47x = 538,749.40 × 159,431.16
  4. Step 4: Simplify right side
    359,164.47x = 85,893,441,791.30
  5. Step 5: Solve for x
    x = 85,893,441,791.30/359,164.47
  6. Step 6: Final answer
    x = 239,147.94

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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.