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Finding the Fourth Proportional to 312,804.29, 468,448.73 and 216,471.57

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Solution

The fourth proportional to 312,804.29, 468,448.73 and 216,471.57 is: 324,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,804.29 : 468,448.73 = 216,471.57 : x
  2. Step 2: Convert to fraction form
    312,804.29/468,448.73 = 216,471.57/x
  3. Step 3: Cross multiply
    312,804.29x = 468,448.73 × 216,471.57
  4. Step 4: Simplify right side
    312,804.29x = 101,405,832,047.61
  5. Step 5: Solve for x
    x = 101,405,832,047.61/312,804.29
  6. Step 6: Final answer
    x = 324,183.00

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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.