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Finding the Fourth Proportional to 300,823.89, 415,084.36 and 171,703.41

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Solution

The fourth proportional to 300,823.89, 415,084.36 and 171,703.41 is: 236,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,823.89 : 415,084.36 = 171,703.41 : x
  2. Step 2: Convert to fraction form
    300,823.89/415,084.36 = 171,703.41/x
  3. Step 3: Cross multiply
    300,823.89x = 415,084.36 × 171,703.41
  4. Step 4: Simplify right side
    300,823.89x = 71,271,400,049.67
  5. Step 5: Solve for x
    x = 71,271,400,049.67/300,823.89
  6. Step 6: Final answer
    x = 236,920.68

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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.