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Finding the Fourth Proportional to 510,997.66, 766,615.09 and 174,041.23

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Solution

The fourth proportional to 510,997.66, 766,615.09 and 174,041.23 is: 261,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,997.66 : 766,615.09 = 174,041.23 : x
  2. Step 2: Convert to fraction form
    510,997.66/766,615.09 = 174,041.23/x
  3. Step 3: Cross multiply
    510,997.66x = 766,615.09 × 174,041.23
  4. Step 4: Simplify right side
    510,997.66x = 133,422,633,723.33
  5. Step 5: Solve for x
    x = 133,422,633,723.33/510,997.66
  6. Step 6: Final answer
    x = 261,102.24

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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.