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Finding the Fourth Proportional to 332,892.47, 499,464.41 and 199,865.46

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Solution

The fourth proportional to 332,892.47, 499,464.41 and 199,865.46 is: 299,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,892.47 : 499,464.41 = 199,865.46 : x
  2. Step 2: Convert to fraction form
    332,892.47/499,464.41 = 199,865.46/x
  3. Step 3: Cross multiply
    332,892.47x = 499,464.41 × 199,865.46
  4. Step 4: Simplify right side
    332,892.47x = 99,825,684,058.28
  5. Step 5: Solve for x
    x = 99,825,684,058.28/332,892.47
  6. Step 6: Final answer
    x = 299,873.66

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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.