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Finding the Fourth Proportional to 431,693.80, 648,123.90 and 274,229.80

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Solution

The fourth proportional to 431,693.80, 648,123.90 and 274,229.80 is: 411,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,693.80 : 648,123.90 = 274,229.80 : x
  2. Step 2: Convert to fraction form
    431,693.80/648,123.90 = 274,229.80/x
  3. Step 3: Cross multiply
    431,693.80x = 648,123.90 × 274,229.80
  4. Step 4: Simplify right side
    431,693.80x = 177,734,887,472.22
  5. Step 5: Solve for x
    x = 177,734,887,472.22/431,693.80
  6. Step 6: Final answer
    x = 411,715.17

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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.