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Finding the Fourth Proportional to 283,264.48, 424,908.44 and 83,584.86

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Solution

The fourth proportional to 283,264.48, 424,908.44 and 83,584.86 is: 125,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,264.48 : 424,908.44 = 83,584.86 : x
  2. Step 2: Convert to fraction form
    283,264.48/424,908.44 = 83,584.86/x
  3. Step 3: Cross multiply
    283,264.48x = 424,908.44 × 83,584.86
  4. Step 4: Simplify right side
    283,264.48x = 35,515,912,470.22
  5. Step 5: Solve for x
    x = 35,515,912,470.22/283,264.48
  6. Step 6: Final answer
    x = 125,380.75

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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.