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Finding the Fourth Proportional to 270,002.40, 405,003.60 and 80,462.40

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Solution

The fourth proportional to 270,002.40, 405,003.60 and 80,462.40 is: 120,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,002.40 : 405,003.60 = 80,462.40 : x
  2. Step 2: Convert to fraction form
    270,002.40/405,003.60 = 80,462.40/x
  3. Step 3: Cross multiply
    270,002.40x = 405,003.60 × 80,462.40
  4. Step 4: Simplify right side
    270,002.40x = 32,587,561,664.64
  5. Step 5: Solve for x
    x = 32,587,561,664.64/270,002.40
  6. Step 6: Final answer
    x = 120,693.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.