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Finding the Fourth Proportional to 412,207.60, 568,882.56 and 230,916.64

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Solution

The fourth proportional to 412,207.60, 568,882.56 and 230,916.64 is: 318,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,207.60 : 568,882.56 = 230,916.64 : x
  2. Step 2: Convert to fraction form
    412,207.60/568,882.56 = 230,916.64/x
  3. Step 3: Cross multiply
    412,207.60x = 568,882.56 × 230,916.64
  4. Step 4: Simplify right side
    412,207.60x = 131,364,449,309.80
  5. Step 5: Solve for x
    x = 131,364,449,309.80/412,207.60
  6. Step 6: Final answer
    x = 318,685.17

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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.