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Finding the Fourth Proportional to 465,263.76, 697,893.09 and 181,151.97

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Solution

The fourth proportional to 465,263.76, 697,893.09 and 181,151.97 is: 271,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,263.76 : 697,893.09 = 181,151.97 : x
  2. Step 2: Convert to fraction form
    465,263.76/697,893.09 = 181,151.97/x
  3. Step 3: Cross multiply
    465,263.76x = 697,893.09 × 181,151.97
  4. Step 4: Simplify right side
    465,263.76x = 126,424,708,102.89
  5. Step 5: Solve for x
    x = 126,424,708,102.89/465,263.76
  6. Step 6: Final answer
    x = 271,726.96

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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.