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Finding the Fourth Proportional to 514,206.31, 709,520.32 and 323,084.38

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Solution

The fourth proportional to 514,206.31, 709,520.32 and 323,084.38 is: 445,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,206.31 : 709,520.32 = 323,084.38 : x
  2. Step 2: Convert to fraction form
    514,206.31/709,520.32 = 323,084.38/x
  3. Step 3: Cross multiply
    514,206.31x = 709,520.32 × 323,084.38
  4. Step 4: Simplify right side
    514,206.31x = 229,234,932,684.60
  5. Step 5: Solve for x
    x = 229,234,932,684.60/514,206.31
  6. Step 6: Final answer
    x = 445,803.42

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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.