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Finding the Fourth Proportional to 356,106.35, 491,428.20 and 194,976.39

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Solution

The fourth proportional to 356,106.35, 491,428.20 and 194,976.39 is: 269,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,106.35 : 491,428.20 = 194,976.39 : x
  2. Step 2: Convert to fraction form
    356,106.35/491,428.20 = 194,976.39/x
  3. Step 3: Cross multiply
    356,106.35x = 491,428.20 × 194,976.39
  4. Step 4: Simplify right side
    356,106.35x = 95,816,897,297.89
  5. Step 5: Solve for x
    x = 95,816,897,297.89/356,106.35
  6. Step 6: Final answer
    x = 269,068.21

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