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Finding the Fourth Proportional to 410,661.69, 566,707.11 and 229,376.27

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Solution

The fourth proportional to 410,661.69, 566,707.11 and 229,376.27 is: 316,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.69 : 566,707.11 = 229,376.27 : x
  2. Step 2: Convert to fraction form
    410,661.69/566,707.11 = 229,376.27/x
  3. Step 3: Cross multiply
    410,661.69x = 566,707.11 × 229,376.27
  4. Step 4: Simplify right side
    410,661.69x = 129,989,160,240.74
  5. Step 5: Solve for x
    x = 129,989,160,240.74/410,661.69
  6. Step 6: Final answer
    x = 316,535.88

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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.