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Finding the Fourth Proportional to 359,843.60, 539,830.20 and 149,502.80

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Solution

The fourth proportional to 359,843.60, 539,830.20 and 149,502.80 is: 224,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,843.60 : 539,830.20 = 149,502.80 : x
  2. Step 2: Convert to fraction form
    359,843.60/539,830.20 = 149,502.80/x
  3. Step 3: Cross multiply
    359,843.60x = 539,830.20 × 149,502.80
  4. Step 4: Simplify right side
    359,843.60x = 80,706,126,424.56
  5. Step 5: Solve for x
    x = 80,706,126,424.56/359,843.60
  6. Step 6: Final answer
    x = 224,281.12

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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.