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Finding the Fourth Proportional to 283,305.48, 424,822.68 and 165,010.56

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Solution

The fourth proportional to 283,305.48, 424,822.68 and 165,010.56 is: 247,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,305.48 : 424,822.68 = 165,010.56 : x
  2. Step 2: Convert to fraction form
    283,305.48/424,822.68 = 165,010.56/x
  3. Step 3: Cross multiply
    283,305.48x = 424,822.68 × 165,010.56
  4. Step 4: Simplify right side
    283,305.48x = 70,100,228,327.50
  5. Step 5: Solve for x
    x = 70,100,228,327.50/283,305.48
  6. Step 6: Final answer
    x = 247,436.90

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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.