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Finding the Fourth Proportional to 408,454.24, 563,661.84 and 229,606.24

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Solution

The fourth proportional to 408,454.24, 563,661.84 and 229,606.24 is: 316,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,454.24 : 563,661.84 = 229,606.24 : x
  2. Step 2: Convert to fraction form
    408,454.24/563,661.84 = 229,606.24/x
  3. Step 3: Cross multiply
    408,454.24x = 563,661.84 × 229,606.24
  4. Step 4: Simplify right side
    408,454.24x = 129,420,275,713.88
  5. Step 5: Solve for x
    x = 129,420,275,713.88/408,454.24
  6. Step 6: Final answer
    x = 316,853.79

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1.5x scale

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.