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Finding the Fourth Proportional to 374,460.80, 561,691.20 and 137,811.20

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Solution

The fourth proportional to 374,460.80, 561,691.20 and 137,811.20 is: 206,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,460.80 : 561,691.20 = 137,811.20 : x
  2. Step 2: Convert to fraction form
    374,460.80/561,691.20 = 137,811.20/x
  3. Step 3: Cross multiply
    374,460.80x = 561,691.20 × 137,811.20
  4. Step 4: Simplify right side
    374,460.80x = 77,407,338,301.44
  5. Step 5: Solve for x
    x = 77,407,338,301.44/374,460.80
  6. Step 6: Final answer
    x = 206,716.80

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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.