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Finding the Fourth Proportional to 334,633.35, 461,775.17 and 194,974.38

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Solution

The fourth proportional to 334,633.35, 461,775.17 and 194,974.38 is: 269,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,633.35 : 461,775.17 = 194,974.38 : x
  2. Step 2: Convert to fraction form
    334,633.35/461,775.17 = 194,974.38/x
  3. Step 3: Cross multiply
    334,633.35x = 461,775.17 × 194,974.38
  4. Step 4: Simplify right side
    334,633.35x = 90,034,326,495.27
  5. Step 5: Solve for x
    x = 90,034,326,495.27/334,633.35
  6. Step 6: Final answer
    x = 269,053.66

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Why These Related Problems?

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