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Finding the Fourth Proportional to 300,240, 414,167.36 and 192,826.40

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Solution

The fourth proportional to 300,240, 414,167.36 and 192,826.40 is: 265,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,240 : 414,167.36 = 192,826.40 : x
  2. Step 2: Convert to fraction form
    300,240/414,167.36 = 192,826.40/x
  3. Step 3: Cross multiply
    300,240x = 414,167.36 × 192,826.40
  4. Step 4: Simplify right side
    300,240x = 79,862,401,026.30
  5. Step 5: Solve for x
    x = 79,862,401,026.30/300,240
  6. Step 6: Final answer
    x = 265,995.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.