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Finding the Fourth Proportional to 299,732.82, 413,626.38 and 163,763.84

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Solution

The fourth proportional to 299,732.82, 413,626.38 and 163,763.84 is: 225,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.82 : 413,626.38 = 163,763.84 : x
  2. Step 2: Convert to fraction form
    299,732.82/413,626.38 = 163,763.84/x
  3. Step 3: Cross multiply
    299,732.82x = 413,626.38 × 163,763.84
  4. Step 4: Simplify right side
    299,732.82x = 67,737,044,314.10
  5. Step 5: Solve for x
    x = 67,737,044,314.10/299,732.82
  6. Step 6: Final answer
    x = 225,991.42

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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.