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Finding the Fourth Proportional to 409,796.87, 565,575.17 and 240,098.63

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Solution

The fourth proportional to 409,796.87, 565,575.17 and 240,098.63 is: 331,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,796.87 : 565,575.17 = 240,098.63 : x
  2. Step 2: Convert to fraction form
    409,796.87/565,575.17 = 240,098.63/x
  3. Step 3: Cross multiply
    409,796.87x = 565,575.17 × 240,098.63
  4. Step 4: Simplify right side
    409,796.87x = 135,793,819,450.65
  5. Step 5: Solve for x
    x = 135,793,819,450.65/409,796.87
  6. Step 6: Final answer
    x = 331,368.61

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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.