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Finding the Fourth Proportional to 283,414.55, 424,974.20 and 105,775.47

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Solution

The fourth proportional to 283,414.55, 424,974.20 and 105,775.47 is: 158,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,414.55 : 424,974.20 = 105,775.47 : x
  2. Step 2: Convert to fraction form
    283,414.55/424,974.20 = 105,775.47/x
  3. Step 3: Cross multiply
    283,414.55x = 424,974.20 × 105,775.47
  4. Step 4: Simplify right side
    283,414.55x = 44,951,845,214.00
  5. Step 5: Solve for x
    x = 44,951,845,214.00/283,414.55
  6. Step 6: Final answer
    x = 158,608.11

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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.