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Finding the Fourth Proportional to 359,827.60, 539,806.20 and 149,486.80

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Solution

The fourth proportional to 359,827.60, 539,806.20 and 149,486.80 is: 224,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,827.60 : 539,806.20 = 149,486.80 : x
  2. Step 2: Convert to fraction form
    359,827.60/539,806.20 = 149,486.80/x
  3. Step 3: Cross multiply
    359,827.60x = 539,806.20 × 149,486.80
  4. Step 4: Simplify right side
    359,827.60x = 80,693,901,458.16
  5. Step 5: Solve for x
    x = 80,693,901,458.16/359,827.60
  6. Step 6: Final answer
    x = 224,257.12

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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.