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Finding the Fourth Proportional to 334,778.52, 502,185.06 and 85,462.68

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Solution

The fourth proportional to 334,778.52, 502,185.06 and 85,462.68 is: 128,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,778.52 : 502,185.06 = 85,462.68 : x
  2. Step 2: Convert to fraction form
    334,778.52/502,185.06 = 85,462.68/x
  3. Step 3: Cross multiply
    334,778.52x = 502,185.06 × 85,462.68
  4. Step 4: Simplify right side
    334,778.52x = 42,918,081,083.56
  5. Step 5: Solve for x
    x = 42,918,081,083.56/334,778.52
  6. Step 6: Final answer
    x = 128,198.43

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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.