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Finding the Fourth Proportional to 356,294.40, 491,695.84 and 201,233.26

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Solution

The fourth proportional to 356,294.40, 491,695.84 and 201,233.26 is: 277,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,294.40 : 491,695.84 = 201,233.26 : x
  2. Step 2: Convert to fraction form
    356,294.40/491,695.84 = 201,233.26/x
  3. Step 3: Cross multiply
    356,294.40x = 491,695.84 × 201,233.26
  4. Step 4: Simplify right side
    356,294.40x = 98,945,558,243.77
  5. Step 5: Solve for x
    x = 98,945,558,243.77/356,294.40
  6. Step 6: Final answer
    x = 277,707.31

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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.