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Finding the Fourth Proportional to 410,661.21, 566,700.75 and 229,367.82

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Solution

The fourth proportional to 410,661.21, 566,700.75 and 229,367.82 is: 316,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.21 : 566,700.75 = 229,367.82 : x
  2. Step 2: Convert to fraction form
    410,661.21/566,700.75 = 229,367.82/x
  3. Step 3: Cross multiply
    410,661.21x = 566,700.75 × 229,367.82
  4. Step 4: Simplify right side
    410,661.21x = 129,982,915,619.87
  5. Step 5: Solve for x
    x = 129,982,915,619.87/410,661.21
  6. Step 6: Final answer
    x = 316,521.05

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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.