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Finding the Fourth Proportional to 283,299.48, 424,813.68 and 165,004.56

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Solution

The fourth proportional to 283,299.48, 424,813.68 and 165,004.56 is: 247,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,299.48 : 424,813.68 = 165,004.56 : x
  2. Step 2: Convert to fraction form
    283,299.48/424,813.68 = 165,004.56/x
  3. Step 3: Cross multiply
    283,299.48x = 424,813.68 × 165,004.56
  4. Step 4: Simplify right side
    283,299.48x = 70,096,194,350.38
  5. Step 5: Solve for x
    x = 70,096,194,350.38/283,299.48
  6. Step 6: Final answer
    x = 247,427.90

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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.