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Finding the Fourth Proportional to 332,898.24, 499,473.16 and 199,871.32

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Solution

The fourth proportional to 332,898.24, 499,473.16 and 199,871.32 is: 299,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,898.24 : 499,473.16 = 199,871.32 : x
  2. Step 2: Convert to fraction form
    332,898.24/499,473.16 = 199,871.32/x
  3. Step 3: Cross multiply
    332,898.24x = 499,473.16 × 199,871.32
  4. Step 4: Simplify right side
    332,898.24x = 99,830,359,793.77
  5. Step 5: Solve for x
    x = 99,830,359,793.77/332,898.24
  6. Step 6: Final answer
    x = 299,882.51

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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.