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Finding the Fourth Proportional to 424,828.25, 586,318.97 and 255,073.31

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Solution

The fourth proportional to 424,828.25, 586,318.97 and 255,073.31 is: 352,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,828.25 : 586,318.97 = 255,073.31 : x
  2. Step 2: Convert to fraction form
    424,828.25/586,318.97 = 255,073.31/x
  3. Step 3: Cross multiply
    424,828.25x = 586,318.97 × 255,073.31
  4. Step 4: Simplify right side
    424,828.25x = 149,554,320,393.69
  5. Step 5: Solve for x
    x = 149,554,320,393.69/424,828.25
  6. Step 6: Final answer
    x = 352,034.78

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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.