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Finding the Fourth Proportional to 471,940.72, 707,519.16 and 187,455.76

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Solution

The fourth proportional to 471,940.72, 707,519.16 and 187,455.76 is: 281,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,940.72 : 707,519.16 = 187,455.76 : x
  2. Step 2: Convert to fraction form
    471,940.72/707,519.16 = 187,455.76/x
  3. Step 3: Cross multiply
    471,940.72x = 707,519.16 × 187,455.76
  4. Step 4: Simplify right side
    471,940.72x = 132,628,541,852.36
  5. Step 5: Solve for x
    x = 132,628,541,852.36/471,940.72
  6. Step 6: Final answer
    x = 281,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.