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Finding the Fourth Proportional to 270,716.10, 406,074.15 and 165,740.10

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Solution

The fourth proportional to 270,716.10, 406,074.15 and 165,740.10 is: 248,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,716.10 : 406,074.15 = 165,740.10 : x
  2. Step 2: Convert to fraction form
    270,716.10/406,074.15 = 165,740.10/x
  3. Step 3: Cross multiply
    270,716.10x = 406,074.15 × 165,740.10
  4. Step 4: Simplify right side
    270,716.10x = 67,302,770,228.42
  5. Step 5: Solve for x
    x = 67,302,770,228.42/270,716.10
  6. Step 6: Final answer
    x = 248,610.15

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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.