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Finding the Fourth Proportional to 267,379.31, 401,065.16 and 64,976.90

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Solution

The fourth proportional to 267,379.31, 401,065.16 and 64,976.90 is: 97,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,379.31 : 401,065.16 = 64,976.90 : x
  2. Step 2: Convert to fraction form
    267,379.31/401,065.16 = 64,976.90/x
  3. Step 3: Cross multiply
    267,379.31x = 401,065.16 × 64,976.90
  4. Step 4: Simplify right side
    267,379.31x = 26,059,971,959.91
  5. Step 5: Solve for x
    x = 26,059,971,959.91/267,379.31
  6. Step 6: Final answer
    x = 97,464.43

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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.