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Finding the Fourth Proportional to 424,470.24, 585,279 and 338,362.56

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Solution

The fourth proportional to 424,470.24, 585,279 and 338,362.56 is: 466,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,470.24 : 585,279 = 338,362.56 : x
  2. Step 2: Convert to fraction form
    424,470.24/585,279 = 338,362.56/x
  3. Step 3: Cross multiply
    424,470.24x = 585,279 × 338,362.56
  4. Step 4: Simplify right side
    424,470.24x = 198,036,500,754.24
  5. Step 5: Solve for x
    x = 198,036,500,754.24/424,470.24
  6. Step 6: Final answer
    x = 466,549.79

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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.