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Finding the Fourth Proportional to 312,443.52, 468,568.32 and 112,738.02

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Solution

The fourth proportional to 312,443.52, 468,568.32 and 112,738.02 is: 169,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,443.52 : 468,568.32 = 112,738.02 : x
  2. Step 2: Convert to fraction form
    312,443.52/468,568.32 = 112,738.02/x
  3. Step 3: Cross multiply
    312,443.52x = 468,568.32 × 112,738.02
  4. Step 4: Simplify right side
    312,443.52x = 52,825,464,631.53
  5. Step 5: Solve for x
    x = 52,825,464,631.53/312,443.52
  6. Step 6: Final answer
    x = 169,072.04

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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.