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Finding the Fourth Proportional to 283,404.40, 425,006.28 and 83,671.36

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Solution

The fourth proportional to 283,404.40, 425,006.28 and 83,671.36 is: 125,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,404.40 : 425,006.28 = 83,671.36 : x
  2. Step 2: Convert to fraction form
    283,404.40/425,006.28 = 83,671.36/x
  3. Step 3: Cross multiply
    283,404.40x = 425,006.28 × 83,671.36
  4. Step 4: Simplify right side
    283,404.40x = 35,560,853,456.14
  5. Step 5: Solve for x
    x = 35,560,853,456.14/283,404.40
  6. Step 6: Final answer
    x = 125,477.42

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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.