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Finding the Fourth Proportional to 299,496.92, 413,314.25 and 163,539.47

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Solution

The fourth proportional to 299,496.92, 413,314.25 and 163,539.47 is: 225,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,496.92 : 413,314.25 = 163,539.47 : x
  2. Step 2: Convert to fraction form
    299,496.92/413,314.25 = 163,539.47/x
  3. Step 3: Cross multiply
    299,496.92x = 413,314.25 × 163,539.47
  4. Step 4: Simplify right side
    299,496.92x = 67,593,193,604.04
  5. Step 5: Solve for x
    x = 67,593,193,604.04/299,496.92
  6. Step 6: Final answer
    x = 225,689.11

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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.