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Finding the Fourth Proportional to 283,800.66, 391,647.56 and 156,480.78

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Solution

The fourth proportional to 283,800.66, 391,647.56 and 156,480.78 is: 215,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,800.66 : 391,647.56 = 156,480.78 : x
  2. Step 2: Convert to fraction form
    283,800.66/391,647.56 = 156,480.78/x
  3. Step 3: Cross multiply
    283,800.66x = 391,647.56 × 156,480.78
  4. Step 4: Simplify right side
    283,800.66x = 61,285,315,673.90
  5. Step 5: Solve for x
    x = 61,285,315,673.90/283,800.66
  6. Step 6: Final answer
    x = 215,944.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.