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Finding the Fourth Proportional to 299,771.82, 413,672.76 and 163,810.53

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Solution

The fourth proportional to 299,771.82, 413,672.76 and 163,810.53 is: 226,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,771.82 : 413,672.76 = 163,810.53 : x
  2. Step 2: Convert to fraction form
    299,771.82/413,672.76 = 163,810.53/x
  3. Step 3: Cross multiply
    299,771.82x = 413,672.76 × 163,810.53
  4. Step 4: Simplify right side
    299,771.82x = 67,763,954,062.16
  5. Step 5: Solve for x
    x = 67,763,954,062.16/299,771.82
  6. Step 6: Final answer
    x = 226,051.78

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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.