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Finding the Fourth Proportional to 410,653.13, 566,695.42 and 229,367.70

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Solution

The fourth proportional to 410,653.13, 566,695.42 and 229,367.70 is: 316,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,653.13 : 566,695.42 = 229,367.70 : x
  2. Step 2: Convert to fraction form
    410,653.13/566,695.42 = 229,367.70/x
  3. Step 3: Cross multiply
    410,653.13x = 566,695.42 × 229,367.70
  4. Step 4: Simplify right side
    410,653.13x = 129,981,624,512.52
  5. Step 5: Solve for x
    x = 129,981,624,512.52/410,653.13
  6. Step 6: Final answer
    x = 316,524.13

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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.