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Finding the Fourth Proportional to 332,891.47, 499,462.91 and 199,864.46

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Solution

The fourth proportional to 332,891.47, 499,462.91 and 199,864.46 is: 299,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,891.47 : 499,462.91 = 199,864.46 : x
  2. Step 2: Convert to fraction form
    332,891.47/499,462.91 = 199,864.46/x
  3. Step 3: Cross multiply
    332,891.47x = 499,462.91 × 199,864.46
  4. Step 4: Simplify right side
    332,891.47x = 99,824,885,796.01
  5. Step 5: Solve for x
    x = 99,824,885,796.01/332,891.47
  6. Step 6: Final answer
    x = 299,872.16

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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.