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Finding the Fourth Proportional to 308,065.96, 462,163.74 and 175,007.80

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Solution

The fourth proportional to 308,065.96, 462,163.74 and 175,007.80 is: 262,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,065.96 : 462,163.74 = 175,007.80 : x
  2. Step 2: Convert to fraction form
    308,065.96/462,163.74 = 175,007.80/x
  3. Step 3: Cross multiply
    308,065.96x = 462,163.74 × 175,007.80
  4. Step 4: Simplify right side
    308,065.96x = 80,882,259,377.17
  5. Step 5: Solve for x
    x = 80,882,259,377.17/308,065.96
  6. Step 6: Final answer
    x = 262,548.51

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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.