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Finding the Fourth Proportional to 312,414.63, 468,524.98 and 112,709.00

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Solution

The fourth proportional to 312,414.63, 468,524.98 and 112,709.00 is: 169,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,414.63 : 468,524.98 = 112,709.00 : x
  2. Step 2: Convert to fraction form
    312,414.63/468,524.98 = 112,709.00/x
  3. Step 3: Cross multiply
    312,414.63x = 468,524.98 × 112,709.00
  4. Step 4: Simplify right side
    312,414.63x = 52,806,979,346.42
  5. Step 5: Solve for x
    x = 52,806,979,346.42/312,414.63
  6. Step 6: Final answer
    x = 169,028.51

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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.