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Finding the Fourth Proportional to 468,836, 703,370.64 and 136,412

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Solution

The fourth proportional to 468,836, 703,370.64 and 136,412 is: 204,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,836 : 703,370.64 = 136,412 : x
  2. Step 2: Convert to fraction form
    468,836/703,370.64 = 136,412/x
  3. Step 3: Cross multiply
    468,836x = 703,370.64 × 136,412
  4. Step 4: Simplify right side
    468,836x = 95,948,195,743.68
  5. Step 5: Solve for x
    x = 95,948,195,743.68/468,836
  6. Step 6: Final answer
    x = 204,651.94

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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.