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Finding the Fourth Proportional to 356,095.86, 491,418.45 and 194,948.34

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Solution

The fourth proportional to 356,095.86, 491,418.45 and 194,948.34 is: 269,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,095.86 : 491,418.45 = 194,948.34 : x
  2. Step 2: Convert to fraction form
    356,095.86/491,418.45 = 194,948.34/x
  3. Step 3: Cross multiply
    356,095.86x = 491,418.45 × 194,948.34
  4. Step 4: Simplify right side
    356,095.86x = 95,801,211,072.87
  5. Step 5: Solve for x
    x = 95,801,211,072.87/356,095.86
  6. Step 6: Final answer
    x = 269,032.08

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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.