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Finding the Fourth Proportional to 356,294.72, 491,696.26 and 201,233.58

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Solution

The fourth proportional to 356,294.72, 491,696.26 and 201,233.58 is: 277,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,294.72 : 491,696.26 = 201,233.58 : x
  2. Step 2: Convert to fraction form
    356,294.72/491,696.26 = 201,233.58/x
  3. Step 3: Cross multiply
    356,294.72x = 491,696.26 × 201,233.58
  4. Step 4: Simplify right side
    356,294.72x = 98,945,798,672.41
  5. Step 5: Solve for x
    x = 98,945,798,672.41/356,294.72
  6. Step 6: Final answer
    x = 277,707.73

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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.