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Finding the Fourth Proportional to 312,414.01, 468,524.16 and 112,708.45

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Solution

The fourth proportional to 312,414.01, 468,524.16 and 112,708.45 is: 169,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,414.01 : 468,524.16 = 112,708.45 : x
  2. Step 2: Convert to fraction form
    312,414.01/468,524.16 = 112,708.45/x
  3. Step 3: Cross multiply
    312,414.01x = 468,524.16 × 112,708.45
  4. Step 4: Simplify right side
    312,414.01x = 52,806,631,861.15
  5. Step 5: Solve for x
    x = 52,806,631,861.15/312,414.01
  6. Step 6: Final answer
    x = 169,027.73

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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.