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Finding the Fourth Proportional to 283,542.66, 425,799.34 and 189,377.94

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Solution

The fourth proportional to 283,542.66, 425,799.34 and 189,377.94 is: 284,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,542.66 : 425,799.34 = 189,377.94 : x
  2. Step 2: Convert to fraction form
    283,542.66/425,799.34 = 189,377.94/x
  3. Step 3: Cross multiply
    283,542.66x = 425,799.34 × 189,377.94
  4. Step 4: Simplify right side
    283,542.66x = 80,637,001,862.56
  5. Step 5: Solve for x
    x = 80,637,001,862.56/283,542.66
  6. Step 6: Final answer
    x = 284,391.07

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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.