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Finding the Fourth Proportional to 499,084.80, 748,627.20 and 199,417.20

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Solution

The fourth proportional to 499,084.80, 748,627.20 and 199,417.20 is: 299,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,084.80 : 748,627.20 = 199,417.20 : x
  2. Step 2: Convert to fraction form
    499,084.80/748,627.20 = 199,417.20/x
  3. Step 3: Cross multiply
    499,084.80x = 748,627.20 × 199,417.20
  4. Step 4: Simplify right side
    499,084.80x = 149,289,140,067.84
  5. Step 5: Solve for x
    x = 149,289,140,067.84/499,084.80
  6. Step 6: Final answer
    x = 299,125.80

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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.