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Finding the Fourth Proportional to 314,757.54, 471,873.87 and 156,768.66

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Solution

The fourth proportional to 314,757.54, 471,873.87 and 156,768.66 is: 235,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,757.54 : 471,873.87 = 156,768.66 : x
  2. Step 2: Convert to fraction form
    314,757.54/471,873.87 = 156,768.66/x
  3. Step 3: Cross multiply
    314,757.54x = 471,873.87 × 156,768.66
  4. Step 4: Simplify right side
    314,757.54x = 73,975,034,288.91
  5. Step 5: Solve for x
    x = 73,975,034,288.91/314,757.54
  6. Step 6: Final answer
    x = 235,022.28

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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.