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Finding the Fourth Proportional to 310,872.28, 466,308.42 and 205,666.69

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Solution

The fourth proportional to 310,872.28, 466,308.42 and 205,666.69 is: 308,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,872.28 : 466,308.42 = 205,666.69 : x
  2. Step 2: Convert to fraction form
    310,872.28/466,308.42 = 205,666.69/x
  3. Step 3: Cross multiply
    310,872.28x = 466,308.42 × 205,666.69
  4. Step 4: Simplify right side
    310,872.28x = 95,904,109,260.53
  5. Step 5: Solve for x
    x = 95,904,109,260.53/310,872.28
  6. Step 6: Final answer
    x = 308,500.04

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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.