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Finding the Fourth Proportional to 314,757.72, 471,793.20 and 154,943.64

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Solution

The fourth proportional to 314,757.72, 471,793.20 and 154,943.64 is: 232,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,757.72 : 471,793.20 = 154,943.64 : x
  2. Step 2: Convert to fraction form
    314,757.72/471,793.20 = 154,943.64/x
  3. Step 3: Cross multiply
    314,757.72x = 471,793.20 × 154,943.64
  4. Step 4: Simplify right side
    314,757.72x = 73,101,355,735.25
  5. Step 5: Solve for x
    x = 73,101,355,735.25/314,757.72
  6. Step 6: Final answer
    x = 232,246.43

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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.