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Finding the Fourth Proportional to 283,047.42, 424,446.48 and 149,896.56

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Solution

The fourth proportional to 283,047.42, 424,446.48 and 149,896.56 is: 224,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,047.42 : 424,446.48 = 149,896.56 : x
  2. Step 2: Convert to fraction form
    283,047.42/424,446.48 = 149,896.56/x
  3. Step 3: Cross multiply
    283,047.42x = 424,446.48 × 149,896.56
  4. Step 4: Simplify right side
    283,047.42x = 63,623,067,256.11
  5. Step 5: Solve for x
    x = 63,623,067,256.11/283,047.42
  6. Step 6: Final answer
    x = 224,778.83

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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.