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Finding the Fourth Proportional to 367,963.20, 552,041.92 and 199,408.64

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Solution

The fourth proportional to 367,963.20, 552,041.92 and 199,408.64 is: 299,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,963.20 : 552,041.92 = 199,408.64 : x
  2. Step 2: Convert to fraction form
    367,963.20/552,041.92 = 199,408.64/x
  3. Step 3: Cross multiply
    367,963.20x = 552,041.92 × 199,408.64
  4. Step 4: Simplify right side
    367,963.20x = 110,081,928,490.19
  5. Step 5: Solve for x
    x = 110,081,928,490.19/367,963.20
  6. Step 6: Final answer
    x = 299,165.59

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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.