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Finding the Fourth Proportional to 445,902.86, 669,073 and 209,264.78

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Solution

The fourth proportional to 445,902.86, 669,073 and 209,264.78 is: 313,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,902.86 : 669,073 = 209,264.78 : x
  2. Step 2: Convert to fraction form
    445,902.86/669,073 = 209,264.78/x
  3. Step 3: Cross multiply
    445,902.86x = 669,073 × 209,264.78
  4. Step 4: Simplify right side
    445,902.86x = 140,013,414,148.94
  5. Step 5: Solve for x
    x = 140,013,414,148.94/445,902.86
  6. Step 6: Final answer
    x = 313,999.81

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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.