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Finding the Fourth Proportional to 356,337.84, 491,746.29 and 195,198.66

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Solution

The fourth proportional to 356,337.84, 491,746.29 and 195,198.66 is: 269,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,337.84 : 491,746.29 = 195,198.66 : x
  2. Step 2: Convert to fraction form
    356,337.84/491,746.29 = 195,198.66/x
  3. Step 3: Cross multiply
    356,337.84x = 491,746.29 × 195,198.66
  4. Step 4: Simplify right side
    356,337.84x = 95,988,216,867.97
  5. Step 5: Solve for x
    x = 95,988,216,867.97/356,337.84
  6. Step 6: Final answer
    x = 269,374.19

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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.