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Finding the Fourth Proportional to 412,249.95, 617,325.12 and 271,582.11

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Solution

The fourth proportional to 412,249.95, 617,325.12 and 271,582.11 is: 406,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,249.95 : 617,325.12 = 271,582.11 : x
  2. Step 2: Convert to fraction form
    412,249.95/617,325.12 = 271,582.11/x
  3. Step 3: Cross multiply
    412,249.95x = 617,325.12 × 271,582.11
  4. Step 4: Simplify right side
    412,249.95x = 167,654,458,645.60
  5. Step 5: Solve for x
    x = 167,654,458,645.60/412,249.95
  6. Step 6: Final answer
    x = 406,681.57

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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.