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Finding the Fourth Proportional to 299,705.33, 413,593.69 and 163,741.55

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Solution

The fourth proportional to 299,705.33, 413,593.69 and 163,741.55 is: 225,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705.33 : 413,593.69 = 163,741.55 : x
  2. Step 2: Convert to fraction form
    299,705.33/413,593.69 = 163,741.55/x
  3. Step 3: Cross multiply
    299,705.33x = 413,593.69 × 163,741.55
  4. Step 4: Simplify right side
    299,705.33x = 67,722,471,870.82
  5. Step 5: Solve for x
    x = 67,722,471,870.82/299,705.33
  6. Step 6: Final answer
    x = 225,963.52

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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.