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Finding the Fourth Proportional to 499,096.80, 748,645.20 and 199,720.80

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Solution

The fourth proportional to 499,096.80, 748,645.20 and 199,720.80 is: 299,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,096.80 : 748,645.20 = 199,720.80 : x
  2. Step 2: Convert to fraction form
    499,096.80/748,645.20 = 199,720.80/x
  3. Step 3: Cross multiply
    499,096.80x = 748,645.20 × 199,720.80
  4. Step 4: Simplify right side
    499,096.80x = 149,520,018,260.16
  5. Step 5: Solve for x
    x = 149,520,018,260.16/499,096.80
  6. Step 6: Final answer
    x = 299,581.20

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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.