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Finding the Fourth Proportional to 410,375.82, 616,244.52 and 253,600.74

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Solution

The fourth proportional to 410,375.82, 616,244.52 and 253,600.74 is: 380,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,375.82 : 616,244.52 = 253,600.74 : x
  2. Step 2: Convert to fraction form
    410,375.82/616,244.52 = 253,600.74/x
  3. Step 3: Cross multiply
    410,375.82x = 616,244.52 × 253,600.74
  4. Step 4: Simplify right side
    410,375.82x = 156,280,066,292.95
  5. Step 5: Solve for x
    x = 156,280,066,292.95/410,375.82
  6. Step 6: Final answer
    x = 380,821.82

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1.5x scale

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.