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Finding the Fourth Proportional to 465,010.88, 697,560.39 and 180,723.34

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Solution

The fourth proportional to 465,010.88, 697,560.39 and 180,723.34 is: 271,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,010.88 : 697,560.39 = 180,723.34 : x
  2. Step 2: Convert to fraction form
    465,010.88/697,560.39 = 180,723.34/x
  3. Step 3: Cross multiply
    465,010.88x = 697,560.39 × 180,723.34
  4. Step 4: Simplify right side
    465,010.88x = 126,065,446,393.06
  5. Step 5: Solve for x
    x = 126,065,446,393.06/465,010.88
  6. Step 6: Final answer
    x = 271,102.15

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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.