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Finding the Fourth Proportional to 410,668.42, 566,716.39 and 229,382.98

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Solution

The fourth proportional to 410,668.42, 566,716.39 and 229,382.98 is: 316,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,668.42 : 566,716.39 = 229,382.98 : x
  2. Step 2: Convert to fraction form
    410,668.42/566,716.39 = 229,382.98/x
  3. Step 3: Cross multiply
    410,668.42x = 566,716.39 × 229,382.98
  4. Step 4: Simplify right side
    410,668.42x = 129,995,094,353.04
  5. Step 5: Solve for x
    x = 129,995,094,353.04/410,668.42
  6. Step 6: Final answer
    x = 316,545.14

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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.