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Finding the Fourth Proportional to 290,016.80, 435,025.20 and 262,023.20

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Solution

The fourth proportional to 290,016.80, 435,025.20 and 262,023.20 is: 393,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,016.80 : 435,025.20 = 262,023.20 : x
  2. Step 2: Convert to fraction form
    290,016.80/435,025.20 = 262,023.20/x
  3. Step 3: Cross multiply
    290,016.80x = 435,025.20 × 262,023.20
  4. Step 4: Simplify right side
    290,016.80x = 113,986,694,984.64
  5. Step 5: Solve for x
    x = 113,986,694,984.64/290,016.80
  6. Step 6: Final answer
    x = 393,034.80

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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.