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Finding the Fourth Proportional to 514,357.44, 709,873.92 and 287,959.20

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Solution

The fourth proportional to 514,357.44, 709,873.92 and 287,959.20 is: 397,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,357.44 : 709,873.92 = 287,959.20 : x
  2. Step 2: Convert to fraction form
    514,357.44/709,873.92 = 287,959.20/x
  3. Step 3: Cross multiply
    514,357.44x = 709,873.92 × 287,959.20
  4. Step 4: Simplify right side
    514,357.44x = 204,414,726,104.06
  5. Step 5: Solve for x
    x = 204,414,726,104.06/514,357.44
  6. Step 6: Final answer
    x = 397,417.65

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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.