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Finding the Fourth Proportional to 502,704.28, 754,049.74 and 123,628.28

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Solution

The fourth proportional to 502,704.28, 754,049.74 and 123,628.28 is: 185,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,704.28 : 754,049.74 = 123,628.28 : x
  2. Step 2: Convert to fraction form
    502,704.28/754,049.74 = 123,628.28/x
  3. Step 3: Cross multiply
    502,704.28x = 754,049.74 × 123,628.28
  4. Step 4: Simplify right side
    502,704.28x = 93,221,872,390.65
  5. Step 5: Solve for x
    x = 93,221,872,390.65/502,704.28
  6. Step 6: Final answer
    x = 185,440.78

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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.