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Finding the Fourth Proportional to 467,093.52, 700,614.36 and 415,098

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Solution

The fourth proportional to 467,093.52, 700,614.36 and 415,098 is: 622,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,093.52 : 700,614.36 = 415,098 : x
  2. Step 2: Convert to fraction form
    467,093.52/700,614.36 = 415,098/x
  3. Step 3: Cross multiply
    467,093.52x = 700,614.36 × 415,098
  4. Step 4: Simplify right side
    467,093.52x = 290,823,619,607.28
  5. Step 5: Solve for x
    x = 290,823,619,607.28/467,093.52
  6. Step 6: Final answer
    x = 622,623.97

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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.