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Finding the Fourth Proportional to 299,460.18, 413,260.89 and 163,494.47

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Solution

The fourth proportional to 299,460.18, 413,260.89 and 163,494.47 is: 225,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460.18 : 413,260.89 = 163,494.47 : x
  2. Step 2: Convert to fraction form
    299,460.18/413,260.89 = 163,494.47/x
  3. Step 3: Cross multiply
    299,460.18x = 413,260.89 × 163,494.47
  4. Step 4: Simplify right side
    299,460.18x = 67,565,868,115.97
  5. Step 5: Solve for x
    x = 67,565,868,115.97/299,460.18
  6. Step 6: Final answer
    x = 225,625.55

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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.