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Finding the Fourth Proportional to 644,937.36, 967,403 and 165,164.24

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Solution

The fourth proportional to 644,937.36, 967,403 and 165,164.24 is: 247,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,937.36 : 967,403 = 165,164.24 : x
  2. Step 2: Convert to fraction form
    644,937.36/967,403 = 165,164.24/x
  3. Step 3: Cross multiply
    644,937.36x = 967,403 × 165,164.24
  4. Step 4: Simplify right side
    644,937.36x = 159,780,381,268.72
  5. Step 5: Solve for x
    x = 159,780,381,268.72/644,937.36
  6. Step 6: Final answer
    x = 247,745.58

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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.