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Finding the Fourth Proportional to 550,758.44, 826,224.14 and 235,217

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Solution

The fourth proportional to 550,758.44, 826,224.14 and 235,217 is: 352,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,758.44 : 826,224.14 = 235,217 : x
  2. Step 2: Convert to fraction form
    550,758.44/826,224.14 = 235,217/x
  3. Step 3: Cross multiply
    550,758.44x = 826,224.14 × 235,217
  4. Step 4: Simplify right side
    550,758.44x = 194,341,963,538.38
  5. Step 5: Solve for x
    x = 194,341,963,538.38/550,758.44
  6. Step 6: Final answer
    x = 352,862.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.