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Finding the Fourth Proportional to 331,886.48, 497,775 and 142,377.44

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Solution

The fourth proportional to 331,886.48, 497,775 and 142,377.44 is: 213,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,886.48 : 497,775 = 142,377.44 : x
  2. Step 2: Convert to fraction form
    331,886.48/497,775 = 142,377.44/x
  3. Step 3: Cross multiply
    331,886.48x = 497,775 × 142,377.44
  4. Step 4: Simplify right side
    331,886.48x = 70,871,930,196
  5. Step 5: Solve for x
    x = 70,871,930,196/331,886.48
  6. Step 6: Final answer
    x = 213,542.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.