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Finding the Fourth Proportional to 577,531.44, 866,395.80 and 178,164.72

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Solution

The fourth proportional to 577,531.44, 866,395.80 and 178,164.72 is: 267,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,531.44 : 866,395.80 = 178,164.72 : x
  2. Step 2: Convert to fraction form
    577,531.44/866,395.80 = 178,164.72/x
  3. Step 3: Cross multiply
    577,531.44x = 866,395.80 × 178,164.72
  4. Step 4: Simplify right side
    577,531.44x = 154,361,165,116.18
  5. Step 5: Solve for x
    x = 154,361,165,116.18/577,531.44
  6. Step 6: Final answer
    x = 267,277.51

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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.