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Finding the Fourth Proportional to 412,656.98, 618,944.01 and 113,167.68

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Solution

The fourth proportional to 412,656.98, 618,944.01 and 113,167.68 is: 169,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,656.98 : 618,944.01 = 113,167.68 : x
  2. Step 2: Convert to fraction form
    412,656.98/618,944.01 = 113,167.68/x
  3. Step 3: Cross multiply
    412,656.98x = 618,944.01 × 113,167.68
  4. Step 4: Simplify right side
    412,656.98x = 70,044,458,716.02
  5. Step 5: Solve for x
    x = 70,044,458,716.02/412,656.98
  6. Step 6: Final answer
    x = 169,740.15

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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.