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Finding the Fourth Proportional to 331,970, 497,977.68 and 95,294.48

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Solution

The fourth proportional to 331,970, 497,977.68 and 95,294.48 is: 142,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,970 : 497,977.68 = 95,294.48 : x
  2. Step 2: Convert to fraction form
    331,970/497,977.68 = 95,294.48/x
  3. Step 3: Cross multiply
    331,970x = 497,977.68 × 95,294.48
  4. Step 4: Simplify right side
    331,970x = 47,454,524,067.21
  5. Step 5: Solve for x
    x = 47,454,524,067.21/331,970
  6. Step 6: Final answer
    x = 142,948.23

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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.