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Finding the Fourth Proportional to 315,438.41, 435,304.82 and 172,198.42

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Solution

The fourth proportional to 315,438.41, 435,304.82 and 172,198.42 is: 237,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,438.41 : 435,304.82 = 172,198.42 : x
  2. Step 2: Convert to fraction form
    315,438.41/435,304.82 = 172,198.42/x
  3. Step 3: Cross multiply
    315,438.41x = 435,304.82 × 172,198.42
  4. Step 4: Simplify right side
    315,438.41x = 74,958,802,222.38
  5. Step 5: Solve for x
    x = 74,958,802,222.38/315,438.41
  6. Step 6: Final answer
    x = 237,633.72

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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.