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Finding the Fourth Proportional to 409,874.40, 565,670.16 and 240,251.04

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Solution

The fourth proportional to 409,874.40, 565,670.16 and 240,251.04 is: 331,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,874.40 : 565,670.16 = 240,251.04 : x
  2. Step 2: Convert to fraction form
    409,874.40/565,670.16 = 240,251.04/x
  3. Step 3: Cross multiply
    409,874.40x = 565,670.16 × 240,251.04
  4. Step 4: Simplify right side
    409,874.40x = 135,902,844,236.97
  5. Step 5: Solve for x
    x = 135,902,844,236.97/409,874.40
  6. Step 6: Final answer
    x = 331,571.93

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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.