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Finding the Fourth Proportional to 356,094.39, 491,418.86 and 194,948.94

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Solution

The fourth proportional to 356,094.39, 491,418.86 and 194,948.94 is: 269,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,094.39 : 491,418.86 = 194,948.94 : x
  2. Step 2: Convert to fraction form
    356,094.39/491,418.86 = 194,948.94/x
  3. Step 3: Cross multiply
    356,094.39x = 491,418.86 × 194,948.94
  4. Step 4: Simplify right side
    356,094.39x = 95,801,584,878.26
  5. Step 5: Solve for x
    x = 95,801,584,878.26/356,094.39
  6. Step 6: Final answer
    x = 269,034.24

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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.