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Finding the Fourth Proportional to 5,324,738.16, 7,978,979.80 and 3,161,503.44

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Solution

The fourth proportional to 5,324,738.16, 7,978,979.80 and 3,161,503.44 is: 4,737,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,738.16 : 7,978,979.80 = 3,161,503.44 : x
  2. Step 2: Convert to fraction form
    5,324,738.16/7,978,979.80 = 3,161,503.44/x
  3. Step 3: Cross multiply
    5,324,738.16x = 7,978,979.80 × 3,161,503.44
  4. Step 4: Simplify right side
    5,324,738.16x = 25,225,572,085,390.51
  5. Step 5: Solve for x
    x = 25,225,572,085,390.51/5,324,738.16
  6. Step 6: Final answer
    x = 4,737,429.58

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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.