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Finding the Fourth Proportional to 577,469.13, 866,297.10 and 178,016.49

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Solution

The fourth proportional to 577,469.13, 866,297.10 and 178,016.49 is: 267,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,469.13 : 866,297.10 = 178,016.49 : x
  2. Step 2: Convert to fraction form
    577,469.13/866,297.10 = 178,016.49/x
  3. Step 3: Cross multiply
    577,469.13x = 866,297.10 × 178,016.49
  4. Step 4: Simplify right side
    577,469.13x = 154,215,169,039.18
  5. Step 5: Solve for x
    x = 154,215,169,039.18/577,469.13
  6. Step 6: Final answer
    x = 267,053.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.