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Finding the Fourth Proportional to 468,712.48, 703,185.36 and 136,288.48

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Solution

The fourth proportional to 468,712.48, 703,185.36 and 136,288.48 is: 204,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,712.48 : 703,185.36 = 136,288.48 : x
  2. Step 2: Convert to fraction form
    468,712.48/703,185.36 = 136,288.48/x
  3. Step 3: Cross multiply
    468,712.48x = 703,185.36 × 136,288.48
  4. Step 4: Simplify right side
    468,712.48x = 95,836,063,872.65
  5. Step 5: Solve for x
    x = 95,836,063,872.65/468,712.48
  6. Step 6: Final answer
    x = 204,466.64

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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.