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Finding the Fourth Proportional to 410,661.20, 566,706.41 and 229,375.77

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Solution

The fourth proportional to 410,661.20, 566,706.41 and 229,375.77 is: 316,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.20 : 566,706.41 = 229,375.77 : x
  2. Step 2: Convert to fraction form
    410,661.20/566,706.41 = 229,375.77/x
  3. Step 3: Cross multiply
    410,661.20x = 566,706.41 × 229,375.77
  4. Step 4: Simplify right side
    410,661.20x = 129,988,719,157.69
  5. Step 5: Solve for x
    x = 129,988,719,157.69/410,661.20
  6. Step 6: Final answer
    x = 316,535.19

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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.