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Finding the Fourth Proportional to 359,829.73, 539,746.49 and 149,467.87

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Solution

The fourth proportional to 359,829.73, 539,746.49 and 149,467.87 is: 224,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,829.73 : 539,746.49 = 149,467.87 : x
  2. Step 2: Convert to fraction form
    359,829.73/539,746.49 = 149,467.87/x
  3. Step 3: Cross multiply
    359,829.73x = 539,746.49 × 149,467.87
  4. Step 4: Simplify right side
    359,829.73x = 80,674,758,200.28
  5. Step 5: Solve for x
    x = 80,674,758,200.28/359,829.73
  6. Step 6: Final answer
    x = 224,202.59

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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.