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Finding the Fourth Proportional to 514,107.20, 709,367.12 and 323,009.88

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Solution

The fourth proportional to 514,107.20, 709,367.12 and 323,009.88 is: 445,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,107.20 : 709,367.12 = 323,009.88 : x
  2. Step 2: Convert to fraction form
    514,107.20/709,367.12 = 323,009.88/x
  3. Step 3: Cross multiply
    514,107.20x = 709,367.12 × 323,009.88
  4. Step 4: Simplify right side
    514,107.20x = 229,132,585,243.26
  5. Step 5: Solve for x
    x = 229,132,585,243.26/514,107.20
  6. Step 6: Final answer
    x = 445,690.28

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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.