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Finding the Fourth Proportional to 451,891.80, 677,643.30 and 227,165.40

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Solution

The fourth proportional to 451,891.80, 677,643.30 and 227,165.40 is: 340,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,891.80 : 677,643.30 = 227,165.40 : x
  2. Step 2: Convert to fraction form
    451,891.80/677,643.30 = 227,165.40/x
  3. Step 3: Cross multiply
    451,891.80x = 677,643.30 × 227,165.40
  4. Step 4: Simplify right side
    451,891.80x = 153,937,111,301.82
  5. Step 5: Solve for x
    x = 153,937,111,301.82/451,891.80
  6. Step 6: Final answer
    x = 340,650.38

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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.