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Finding the Fourth Proportional to 451,888.27, 677,713.61 and 214,759.15

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Solution

The fourth proportional to 451,888.27, 677,713.61 and 214,759.15 is: 322,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,888.27 : 677,713.61 = 214,759.15 : x
  2. Step 2: Convert to fraction form
    451,888.27/677,713.61 = 214,759.15/x
  3. Step 3: Cross multiply
    451,888.27x = 677,713.61 × 214,759.15
  4. Step 4: Simplify right side
    451,888.27x = 145,545,197,753.24
  5. Step 5: Solve for x
    x = 145,545,197,753.24/451,888.27
  6. Step 6: Final answer
    x = 322,082.27

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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.