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Finding the Fourth Proportional to 431,947.27, 596,083.21 and 238,356.87

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Solution

The fourth proportional to 431,947.27, 596,083.21 and 238,356.87 is: 328,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,947.27 : 596,083.21 = 238,356.87 : x
  2. Step 2: Convert to fraction form
    431,947.27/596,083.21 = 238,356.87/x
  3. Step 3: Cross multiply
    431,947.27x = 596,083.21 × 238,356.87
  4. Step 4: Simplify right side
    431,947.27x = 142,080,528,195.15
  5. Step 5: Solve for x
    x = 142,080,528,195.15/431,947.27
  6. Step 6: Final answer
    x = 328,930.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.