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Finding the Fourth Proportional to 277,993.47, 416,832.23 and 109,422.47

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Solution

The fourth proportional to 277,993.47, 416,832.23 and 109,422.47 is: 164,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,993.47 : 416,832.23 = 109,422.47 : x
  2. Step 2: Convert to fraction form
    277,993.47/416,832.23 = 109,422.47/x
  3. Step 3: Cross multiply
    277,993.47x = 416,832.23 × 109,422.47
  4. Step 4: Simplify right side
    277,993.47x = 45,610,809,550.93
  5. Step 5: Solve for x
    x = 45,610,809,550.93/277,993.47
  6. Step 6: Final answer
    x = 164,071.51

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1.5x scale

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.