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Finding the Fourth Proportional to 277,664.54, 416,493.12 and 67,304.30

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Solution

The fourth proportional to 277,664.54, 416,493.12 and 67,304.30 is: 100,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,664.54 : 416,493.12 = 67,304.30 : x
  2. Step 2: Convert to fraction form
    277,664.54/416,493.12 = 67,304.30/x
  3. Step 3: Cross multiply
    277,664.54x = 416,493.12 × 67,304.30
  4. Step 4: Simplify right side
    277,664.54x = 28,031,777,896.42
  5. Step 5: Solve for x
    x = 28,031,777,896.42/277,664.54
  6. Step 6: Final answer
    x = 100,955.56

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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.