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Finding the Fourth Proportional to 300,733, 415,011.54 and 179,879.38

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Solution

The fourth proportional to 300,733, 415,011.54 and 179,879.38 is: 248,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,733 : 415,011.54 = 179,879.38 : x
  2. Step 2: Convert to fraction form
    300,733/415,011.54 = 179,879.38/x
  3. Step 3: Cross multiply
    300,733x = 415,011.54 × 179,879.38
  4. Step 4: Simplify right side
    300,733x = 74,652,018,508.05
  5. Step 5: Solve for x
    x = 74,652,018,508.05/300,733
  6. Step 6: Final answer
    x = 248,233.54

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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.