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Finding the Fourth Proportional to 632,713.36, 949,169.01 and 206,150.16

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Solution

The fourth proportional to 632,713.36, 949,169.01 and 206,150.16 is: 309,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,713.36 : 949,169.01 = 206,150.16 : x
  2. Step 2: Convert to fraction form
    632,713.36/949,169.01 = 206,150.16/x
  3. Step 3: Cross multiply
    632,713.36x = 949,169.01 × 206,150.16
  4. Step 4: Simplify right side
    632,713.36x = 195,671,343,278.54
  5. Step 5: Solve for x
    x = 195,671,343,278.54/632,713.36
  6. Step 6: Final answer
    x = 309,257.49

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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.