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Finding the Fourth Proportional to 283,035.42, 424,428.48 and 149,884.56

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Solution

The fourth proportional to 283,035.42, 424,428.48 and 149,884.56 is: 224,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,035.42 : 424,428.48 = 149,884.56 : x
  2. Step 2: Convert to fraction form
    283,035.42/424,428.48 = 149,884.56/x
  3. Step 3: Cross multiply
    283,035.42x = 424,428.48 × 149,884.56
  4. Step 4: Simplify right side
    283,035.42x = 63,615,275,976.27
  5. Step 5: Solve for x
    x = 63,615,275,976.27/283,035.42
  6. Step 6: Final answer
    x = 224,760.83

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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.