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Finding the Fourth Proportional to 314,600.52, 471,576.77 and 137,074.44

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Solution

The fourth proportional to 314,600.52, 471,576.77 and 137,074.44 is: 205,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,600.52 : 471,576.77 = 137,074.44 : x
  2. Step 2: Convert to fraction form
    314,600.52/471,576.77 = 137,074.44/x
  3. Step 3: Cross multiply
    314,600.52x = 471,576.77 × 137,074.44
  4. Step 4: Simplify right side
    314,600.52x = 64,641,119,649.56
  5. Step 5: Solve for x
    x = 64,641,119,649.56/314,600.52
  6. Step 6: Final answer
    x = 205,470.48

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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.