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Finding the Fourth Proportional to 299,517.60, 413,351.16 and 163,564.20

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Solution

The fourth proportional to 299,517.60, 413,351.16 and 163,564.20 is: 225,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,517.60 : 413,351.16 = 163,564.20 : x
  2. Step 2: Convert to fraction form
    299,517.60/413,351.16 = 163,564.20/x
  3. Step 3: Cross multiply
    299,517.60x = 413,351.16 × 163,564.20
  4. Step 4: Simplify right side
    299,517.60x = 67,609,451,804.47
  5. Step 5: Solve for x
    x = 67,609,451,804.47/299,517.60
  6. Step 6: Final answer
    x = 225,727.81

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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.