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Finding the Fourth Proportional to 270,016.80, 404,701.20 and 185,776.80

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Solution

The fourth proportional to 270,016.80, 404,701.20 and 185,776.80 is: 278,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,016.80 : 404,701.20 = 185,776.80 : x
  2. Step 2: Convert to fraction form
    270,016.80/404,701.20 = 185,776.80/x
  3. Step 3: Cross multiply
    270,016.80x = 404,701.20 × 185,776.80
  4. Step 4: Simplify right side
    270,016.80x = 75,184,093,892.16
  5. Step 5: Solve for x
    x = 75,184,093,892.16/270,016.80
  6. Step 6: Final answer
    x = 278,442.28

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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.