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Finding the Fourth Proportional to 299,842.55, 413,781.75 and 163,876.49

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Solution

The fourth proportional to 299,842.55, 413,781.75 and 163,876.49 is: 226,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,842.55 : 413,781.75 = 163,876.49 : x
  2. Step 2: Convert to fraction form
    299,842.55/413,781.75 = 163,876.49/x
  3. Step 3: Cross multiply
    299,842.55x = 413,781.75 × 163,876.49
  4. Step 4: Simplify right side
    299,842.55x = 67,809,100,816.06
  5. Step 5: Solve for x
    x = 67,809,100,816.06/299,842.55
  6. Step 6: Final answer
    x = 226,149.03

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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.