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Finding the Fourth Proportional to 312,845.43, 469,336.47 and 113,144.97

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Solution

The fourth proportional to 312,845.43, 469,336.47 and 113,144.97 is: 169,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,845.43 : 469,336.47 = 113,144.97 : x
  2. Step 2: Convert to fraction form
    312,845.43/469,336.47 = 113,144.97/x
  3. Step 3: Cross multiply
    312,845.43x = 469,336.47 × 113,144.97
  4. Step 4: Simplify right side
    312,845.43x = 53,103,060,818.06
  5. Step 5: Solve for x
    x = 53,103,060,818.06/312,845.43
  6. Step 6: Final answer
    x = 169,742.17

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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.