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Finding the Fourth Proportional to 410,661.32, 566,706.65 and 229,375.82

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Solution

The fourth proportional to 410,661.32, 566,706.65 and 229,375.82 is: 316,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.32 : 566,706.65 = 229,375.82 : x
  2. Step 2: Convert to fraction form
    410,661.32/566,706.65 = 229,375.82/x
  3. Step 3: Cross multiply
    410,661.32x = 566,706.65 × 229,375.82
  4. Step 4: Simplify right side
    410,661.32x = 129,988,802,813.09
  5. Step 5: Solve for x
    x = 129,988,802,813.09/410,661.32
  6. Step 6: Final answer
    x = 316,535.30

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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.