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Finding the Fourth Proportional to 467,135.85, 644,647.46 and 252,275.91

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Solution

The fourth proportional to 467,135.85, 644,647.46 and 252,275.91 is: 348,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,135.85 : 644,647.46 = 252,275.91 : x
  2. Step 2: Convert to fraction form
    467,135.85/644,647.46 = 252,275.91/x
  3. Step 3: Cross multiply
    467,135.85x = 644,647.46 × 252,275.91
  4. Step 4: Simplify right side
    467,135.85x = 162,629,023,339.31
  5. Step 5: Solve for x
    x = 162,629,023,339.31/467,135.85
  6. Step 6: Final answer
    x = 348,140.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.