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Finding the Fourth Proportional to 312,803.29, 468,447.24 and 216,470.57

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Solution

The fourth proportional to 312,803.29, 468,447.24 and 216,470.57 is: 324,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,803.29 : 468,447.24 = 216,470.57 : x
  2. Step 2: Convert to fraction form
    312,803.29/468,447.24 = 216,470.57/x
  3. Step 3: Cross multiply
    312,803.29x = 468,447.24 × 216,470.57
  4. Step 4: Simplify right side
    312,803.29x = 101,405,039,817.89
  5. Step 5: Solve for x
    x = 101,405,039,817.89/312,803.29
  6. Step 6: Final answer
    x = 324,181.50

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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.