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Finding the Fourth Proportional to 283,323.48, 424,849.68 and 165,028.56

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Solution

The fourth proportional to 283,323.48, 424,849.68 and 165,028.56 is: 247,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,323.48 : 424,849.68 = 165,028.56 : x
  2. Step 2: Convert to fraction form
    283,323.48/424,849.68 = 165,028.56/x
  3. Step 3: Cross multiply
    283,323.48x = 424,849.68 × 165,028.56
  4. Step 4: Simplify right side
    283,323.48x = 70,112,330,906.86
  5. Step 5: Solve for x
    x = 70,112,330,906.86/283,323.48
  6. Step 6: Final answer
    x = 247,463.89

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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.