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Finding the Fourth Proportional to 362,132.28, 499,691.43 and 216,904.05

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Solution

The fourth proportional to 362,132.28, 499,691.43 and 216,904.05 is: 299,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,132.28 : 499,691.43 = 216,904.05 : x
  2. Step 2: Convert to fraction form
    362,132.28/499,691.43 = 216,904.05/x
  3. Step 3: Cross multiply
    362,132.28x = 499,691.43 × 216,904.05
  4. Step 4: Simplify right side
    362,132.28x = 108,385,094,917.29
  5. Step 5: Solve for x
    x = 108,385,094,917.29/362,132.28
  6. Step 6: Final answer
    x = 299,296.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.