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Finding the Fourth Proportional to 492,874.32, 680,523.48 and 323,600.52

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Solution

The fourth proportional to 492,874.32, 680,523.48 and 323,600.52 is: 446,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,874.32 : 680,523.48 = 323,600.52 : x
  2. Step 2: Convert to fraction form
    492,874.32/680,523.48 = 323,600.52/x
  3. Step 3: Cross multiply
    492,874.32x = 680,523.48 × 323,600.52
  4. Step 4: Simplify right side
    492,874.32x = 220,217,752,000.21
  5. Step 5: Solve for x
    x = 220,217,752,000.21/492,874.32
  6. Step 6: Final answer
    x = 446,803.06

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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.