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Finding the Fourth Proportional to 502,632.30, 754,082.10 and 218,200.80

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Solution

The fourth proportional to 502,632.30, 754,082.10 and 218,200.80 is: 327,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,632.30 : 754,082.10 = 218,200.80 : x
  2. Step 2: Convert to fraction form
    502,632.30/754,082.10 = 218,200.80/x
  3. Step 3: Cross multiply
    502,632.30x = 754,082.10 × 218,200.80
  4. Step 4: Simplify right side
    502,632.30x = 164,541,317,485.68
  5. Step 5: Solve for x
    x = 164,541,317,485.68/502,632.30
  6. Step 6: Final answer
    x = 327,359.22

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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.