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Finding the Fourth Proportional to 312,287.43, 468,144.11 and 112,558.93

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Solution

The fourth proportional to 312,287.43, 468,144.11 and 112,558.93 is: 168,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,287.43 : 468,144.11 = 112,558.93 : x
  2. Step 2: Convert to fraction form
    312,287.43/468,144.11 = 112,558.93/x
  3. Step 3: Cross multiply
    312,287.43x = 468,144.11 × 112,558.93
  4. Step 4: Simplify right side
    312,287.43x = 52,693,799,544.61
  5. Step 5: Solve for x
    x = 52,693,799,544.61/312,287.43
  6. Step 6: Final answer
    x = 168,734.94

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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.