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Finding the Fourth Proportional to 316,264.44, 474,454.26 and 150,051

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Solution

The fourth proportional to 316,264.44, 474,454.26 and 150,051 is: 225,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,264.44 : 474,454.26 = 150,051 : x
  2. Step 2: Convert to fraction form
    316,264.44/474,454.26 = 150,051/x
  3. Step 3: Cross multiply
    316,264.44x = 474,454.26 × 150,051
  4. Step 4: Simplify right side
    316,264.44x = 71,192,336,167.26
  5. Step 5: Solve for x
    x = 71,192,336,167.26/316,264.44
  6. Step 6: Final answer
    x = 225,103.83

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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.