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Finding the Fourth Proportional to 311,843.62, 430,343.83 and 168,603.32

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Solution

The fourth proportional to 311,843.62, 430,343.83 and 168,603.32 is: 232,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,843.62 : 430,343.83 = 168,603.32 : x
  2. Step 2: Convert to fraction form
    311,843.62/430,343.83 = 168,603.32/x
  3. Step 3: Cross multiply
    311,843.62x = 430,343.83 × 168,603.32
  4. Step 4: Simplify right side
    311,843.62x = 72,557,398,479.52
  5. Step 5: Solve for x
    x = 72,557,398,479.52/311,843.62
  6. Step 6: Final answer
    x = 232,672.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.