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Finding the Fourth Proportional to 299,498.77, 413,306.20 and 163,532.62

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Solution

The fourth proportional to 299,498.77, 413,306.20 and 163,532.62 is: 225,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.77 : 413,306.20 = 163,532.62 : x
  2. Step 2: Convert to fraction form
    299,498.77/413,306.20 = 163,532.62/x
  3. Step 3: Cross multiply
    299,498.77x = 413,306.20 × 163,532.62
  4. Step 4: Simplify right side
    299,498.77x = 67,589,045,549.42
  5. Step 5: Solve for x
    x = 67,589,045,549.42/299,498.77
  6. Step 6: Final answer
    x = 225,673.87

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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.