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Finding the Fourth Proportional to 261,944.80, 392,917.20 and 209,456.80

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Solution

The fourth proportional to 261,944.80, 392,917.20 and 209,456.80 is: 314,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,944.80 : 392,917.20 = 209,456.80 : x
  2. Step 2: Convert to fraction form
    261,944.80/392,917.20 = 209,456.80/x
  3. Step 3: Cross multiply
    261,944.80x = 392,917.20 × 209,456.80
  4. Step 4: Simplify right side
    261,944.80x = 82,299,179,376.96
  5. Step 5: Solve for x
    x = 82,299,179,376.96/261,944.80
  6. Step 6: Final answer
    x = 314,185.20

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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.