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Finding the Fourth Proportional to 275,242.32, 412,280.28 and 207,941.04

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Solution

The fourth proportional to 275,242.32, 412,280.28 and 207,941.04 is: 311,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,242.32 : 412,280.28 = 207,941.04 : x
  2. Step 2: Convert to fraction form
    275,242.32/412,280.28 = 207,941.04/x
  3. Step 3: Cross multiply
    275,242.32x = 412,280.28 × 207,941.04
  4. Step 4: Simplify right side
    275,242.32x = 85,729,990,194.69
  5. Step 5: Solve for x
    x = 85,729,990,194.69/275,242.32
  6. Step 6: Final answer
    x = 311,470.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.