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Finding the Fourth Proportional to 270,416.10, 404,846.55 and 165,440.10

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Solution

The fourth proportional to 270,416.10, 404,846.55 and 165,440.10 is: 247,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,416.10 : 404,846.55 = 165,440.10 : x
  2. Step 2: Convert to fraction form
    270,416.10/404,846.55 = 165,440.10/x
  3. Step 3: Cross multiply
    270,416.10x = 404,846.55 × 165,440.10
  4. Step 4: Simplify right side
    270,416.10x = 66,977,853,716.66
  5. Step 5: Solve for x
    x = 66,977,853,716.66/270,416.10
  6. Step 6: Final answer
    x = 247,684.42

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1.5x scale

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.