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Finding the Fourth Proportional to 382,123.32, 526,418.78 and 267,186.91

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Solution

The fourth proportional to 382,123.32, 526,418.78 and 267,186.91 is: 368,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,123.32 : 526,418.78 = 267,186.91 : x
  2. Step 2: Convert to fraction form
    382,123.32/526,418.78 = 267,186.91/x
  3. Step 3: Cross multiply
    382,123.32x = 526,418.78 × 267,186.91
  4. Step 4: Simplify right side
    382,123.32x = 140,652,204,542.19
  5. Step 5: Solve for x
    x = 140,652,204,542.19/382,123.32
  6. Step 6: Final answer
    x = 368,080.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.