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Finding the Fourth Proportional to 514,122.06, 709,387.56 and 323,025.06

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Solution

The fourth proportional to 514,122.06, 709,387.56 and 323,025.06 is: 445,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,122.06 : 709,387.56 = 323,025.06 : x
  2. Step 2: Convert to fraction form
    514,122.06/709,387.56 = 323,025.06/x
  3. Step 3: Cross multiply
    514,122.06x = 709,387.56 × 323,025.06
  4. Step 4: Simplify right side
    514,122.06x = 229,149,959,132.25
  5. Step 5: Solve for x
    x = 229,149,959,132.25/514,122.06
  6. Step 6: Final answer
    x = 445,711.20

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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.