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Finding the Fourth Proportional to 359,843.23, 539,951.65 and 146,767.46

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Solution

The fourth proportional to 359,843.23, 539,951.65 and 146,767.46 is: 220,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,843.23 : 539,951.65 = 146,767.46 : x
  2. Step 2: Convert to fraction form
    359,843.23/539,951.65 = 146,767.46/x
  3. Step 3: Cross multiply
    359,843.23x = 539,951.65 × 146,767.46
  4. Step 4: Simplify right side
    359,843.23x = 79,247,331,459.47
  5. Step 5: Solve for x
    x = 79,247,331,459.47/359,843.23
  6. Step 6: Final answer
    x = 220,227.38

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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.