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Finding the Fourth Proportional to 297,624.64, 410,725.04 and 161,659.92

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Solution

The fourth proportional to 297,624.64, 410,725.04 and 161,659.92 is: 223,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,624.64 : 410,725.04 = 161,659.92 : x
  2. Step 2: Convert to fraction form
    297,624.64/410,725.04 = 161,659.92/x
  3. Step 3: Cross multiply
    297,624.64x = 410,725.04 × 161,659.92
  4. Step 4: Simplify right side
    297,624.64x = 66,397,777,108.40
  5. Step 5: Solve for x
    x = 66,397,777,108.40/297,624.64
  6. Step 6: Final answer
    x = 223,092.34

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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.