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Finding the Fourth Proportional to 465,011.88, 697,561.89 and 180,724.34

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Solution

The fourth proportional to 465,011.88, 697,561.89 and 180,724.34 is: 271,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,011.88 : 697,561.89 = 180,724.34 : x
  2. Step 2: Convert to fraction form
    465,011.88/697,561.89 = 180,724.34/x
  3. Step 3: Cross multiply
    465,011.88x = 697,561.89 × 180,724.34
  4. Step 4: Simplify right side
    465,011.88x = 126,066,412,179.40
  5. Step 5: Solve for x
    x = 126,066,412,179.40/465,011.88
  6. Step 6: Final answer
    x = 271,103.64

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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.