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Finding the Fourth Proportional to 359,697.14, 539,545.34 and 106,976.60

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Solution

The fourth proportional to 359,697.14, 539,545.34 and 106,976.60 is: 160,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,697.14 : 539,545.34 = 106,976.60 : x
  2. Step 2: Convert to fraction form
    359,697.14/539,545.34 = 106,976.60/x
  3. Step 3: Cross multiply
    359,697.14x = 539,545.34 × 106,976.60
  4. Step 4: Simplify right side
    359,697.14x = 57,718,726,019.04
  5. Step 5: Solve for x
    x = 57,718,726,019.04/359,697.14
  6. Step 6: Final answer
    x = 160,464.79

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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.