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Finding the Fourth Proportional to 356,290.71, 491,690.74 and 201,229.56

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Solution

The fourth proportional to 356,290.71, 491,690.74 and 201,229.56 is: 277,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,290.71 : 491,690.74 = 201,229.56 : x
  2. Step 2: Convert to fraction form
    356,290.71/491,690.74 = 201,229.56/x
  3. Step 3: Cross multiply
    356,290.71x = 491,690.74 × 201,229.56
  4. Step 4: Simplify right side
    356,290.71x = 98,942,711,266.27
  5. Step 5: Solve for x
    x = 98,942,711,266.27/356,290.71
  6. Step 6: Final answer
    x = 277,702.19

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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.