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Finding the Fourth Proportional to 300,992.29, 415,310.87 and 178,462.04

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Solution

The fourth proportional to 300,992.29, 415,310.87 and 178,462.04 is: 246,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,992.29 : 415,310.87 = 178,462.04 : x
  2. Step 2: Convert to fraction form
    300,992.29/415,310.87 = 178,462.04/x
  3. Step 3: Cross multiply
    300,992.29x = 415,310.87 × 178,462.04
  4. Step 4: Simplify right side
    300,992.29x = 74,117,225,094.37
  5. Step 5: Solve for x
    x = 74,117,225,094.37/300,992.29
  6. Step 6: Final answer
    x = 246,242.94

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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.