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Finding the Fourth Proportional to 500,020.24, 752,708.26 and 448,582

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Solution

The fourth proportional to 500,020.24, 752,708.26 and 448,582 is: 675,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,020.24 : 752,708.26 = 448,582 : x
  2. Step 2: Convert to fraction form
    500,020.24/752,708.26 = 448,582/x
  3. Step 3: Cross multiply
    500,020.24x = 752,708.26 × 448,582
  4. Step 4: Simplify right side
    500,020.24x = 337,651,376,687.32
  5. Step 5: Solve for x
    x = 337,651,376,687.32/500,020.24
  6. Step 6: Final answer
    x = 675,275.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.