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Finding the Fourth Proportional to 294,524.78, 406,438.36 and 173,671.16

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Solution

The fourth proportional to 294,524.78, 406,438.36 and 173,671.16 is: 239,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,524.78 : 406,438.36 = 173,671.16 : x
  2. Step 2: Convert to fraction form
    294,524.78/406,438.36 = 173,671.16/x
  3. Step 3: Cross multiply
    294,524.78x = 406,438.36 × 173,671.16
  4. Step 4: Simplify right side
    294,524.78x = 70,586,618,983.33
  5. Step 5: Solve for x
    x = 70,586,618,983.33/294,524.78
  6. Step 6: Final answer
    x = 239,662.75

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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.