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Finding the Fourth Proportional to 359,012.35, 538,516.86 and 106,294.38

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Solution

The fourth proportional to 359,012.35, 538,516.86 and 106,294.38 is: 159,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,012.35 : 538,516.86 = 106,294.38 : x
  2. Step 2: Convert to fraction form
    359,012.35/538,516.86 = 106,294.38/x
  3. Step 3: Cross multiply
    359,012.35x = 538,516.86 × 106,294.38
  4. Step 4: Simplify right side
    359,012.35x = 57,241,313,335.20
  5. Step 5: Solve for x
    x = 57,241,313,335.20/359,012.35
  6. Step 6: Final answer
    x = 159,441.07

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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.