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Finding the Fourth Proportional to 408,736.84, 613,131.18 and 128,265.16

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Solution

The fourth proportional to 408,736.84, 613,131.18 and 128,265.16 is: 192,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,736.84 : 613,131.18 = 128,265.16 : x
  2. Step 2: Convert to fraction form
    408,736.84/613,131.18 = 128,265.16/x
  3. Step 3: Cross multiply
    408,736.84x = 613,131.18 × 128,265.16
  4. Step 4: Simplify right side
    408,736.84x = 78,643,368,903.69
  5. Step 5: Solve for x
    x = 78,643,368,903.69/408,736.84
  6. Step 6: Final answer
    x = 192,405.87

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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.