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Finding the Fourth Proportional to 564,072.30, 845,940.75 and 164,605.80

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Solution

The fourth proportional to 564,072.30, 845,940.75 and 164,605.80 is: 246,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,072.30 : 845,940.75 = 164,605.80 : x
  2. Step 2: Convert to fraction form
    564,072.30/845,940.75 = 164,605.80/x
  3. Step 3: Cross multiply
    564,072.30x = 845,940.75 × 164,605.80
  4. Step 4: Simplify right side
    564,072.30x = 139,246,753,906.35
  5. Step 5: Solve for x
    x = 139,246,753,906.35/564,072.30
  6. Step 6: Final answer
    x = 246,859.76

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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.