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Finding the Fourth Proportional to 261,710.20, 392,565.30 and 209,222.20

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Solution

The fourth proportional to 261,710.20, 392,565.30 and 209,222.20 is: 313,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,710.20 : 392,565.30 = 209,222.20 : x
  2. Step 2: Convert to fraction form
    261,710.20/392,565.30 = 209,222.20/x
  3. Step 3: Cross multiply
    261,710.20x = 392,565.30 × 209,222.20
  4. Step 4: Simplify right side
    261,710.20x = 82,133,375,709.66
  5. Step 5: Solve for x
    x = 82,133,375,709.66/261,710.20
  6. Step 6: Final answer
    x = 313,833.30

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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.