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Finding the Fourth Proportional to 283,316.20, 424,520.70 and 150,022.60

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Solution

The fourth proportional to 283,316.20, 424,520.70 and 150,022.60 is: 224,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,316.20 : 424,520.70 = 150,022.60 : x
  2. Step 2: Convert to fraction form
    283,316.20/424,520.70 = 150,022.60/x
  3. Step 3: Cross multiply
    283,316.20x = 424,520.70 × 150,022.60
  4. Step 4: Simplify right side
    283,316.20x = 63,687,699,167.82
  5. Step 5: Solve for x
    x = 63,687,699,167.82/283,316.20
  6. Step 6: Final answer
    x = 224,793.71

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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.