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Finding the Fourth Proportional to 514,204.31, 709,517.57 and 323,082.38

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Solution

The fourth proportional to 514,204.31, 709,517.57 and 323,082.38 is: 445,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,204.31 : 709,517.57 = 323,082.38 : x
  2. Step 2: Convert to fraction form
    514,204.31/709,517.57 = 323,082.38/x
  3. Step 3: Cross multiply
    514,204.31x = 709,517.57 × 323,082.38
  4. Step 4: Simplify right side
    514,204.31x = 229,232,620,004.42
  5. Step 5: Solve for x
    x = 229,232,620,004.42/514,204.31
  6. Step 6: Final answer
    x = 445,800.66

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Why These Related Problems?

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