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Finding the Fourth Proportional to 299,489.40, 413,292.24 and 163,522.92

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Solution

The fourth proportional to 299,489.40, 413,292.24 and 163,522.92 is: 225,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,489.40 : 413,292.24 = 163,522.92 : x
  2. Step 2: Convert to fraction form
    299,489.40/413,292.24 = 163,522.92/x
  3. Step 3: Cross multiply
    299,489.40x = 413,292.24 × 163,522.92
  4. Step 4: Simplify right side
    299,489.40x = 67,582,753,898.14
  5. Step 5: Solve for x
    x = 67,582,753,898.14/299,489.40
  6. Step 6: Final answer
    x = 225,659.92

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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.