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Finding the Fourth Proportional to 297,546.24, 410,616.72 and 163,410.24

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Solution

The fourth proportional to 297,546.24, 410,616.72 and 163,410.24 is: 225,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,546.24 : 410,616.72 = 163,410.24 : x
  2. Step 2: Convert to fraction form
    297,546.24/410,616.72 = 163,410.24/x
  3. Step 3: Cross multiply
    297,546.24x = 410,616.72 × 163,410.24
  4. Step 4: Simplify right side
    297,546.24x = 67,098,976,763.21
  5. Step 5: Solve for x
    x = 67,098,976,763.21/297,546.24
  6. Step 6: Final answer
    x = 225,507.73

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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.