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Finding the Fourth Proportional to 465,685.84, 697,944.80 and 199,133.52

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Solution

The fourth proportional to 465,685.84, 697,944.80 and 199,133.52 is: 298,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,685.84 : 697,944.80 = 199,133.52 : x
  2. Step 2: Convert to fraction form
    465,685.84/697,944.80 = 199,133.52/x
  3. Step 3: Cross multiply
    465,685.84x = 697,944.80 × 199,133.52
  4. Step 4: Simplify right side
    465,685.84x = 138,984,204,789.70
  5. Step 5: Solve for x
    x = 138,984,204,789.70/465,685.84
  6. Step 6: Final answer
    x = 298,450.57

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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.