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Finding the Fourth Proportional to 499,231.90, 748,957.20 and 199,637.20

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Solution

The fourth proportional to 499,231.90, 748,957.20 and 199,637.20 is: 299,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,231.90 : 748,957.20 = 199,637.20 : x
  2. Step 2: Convert to fraction form
    499,231.90/748,957.20 = 199,637.20/x
  3. Step 3: Cross multiply
    499,231.90x = 748,957.20 × 199,637.20
  4. Step 4: Simplify right side
    499,231.90x = 149,519,718,327.84
  5. Step 5: Solve for x
    x = 149,519,718,327.84/499,231.90
  6. Step 6: Final answer
    x = 299,499.53

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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.