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Finding the Fourth Proportional to 277,589.07, 416,321.33 and 127,685.43

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Solution

The fourth proportional to 277,589.07, 416,321.33 and 127,685.43 is: 191,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.07 : 416,321.33 = 127,685.43 : x
  2. Step 2: Convert to fraction form
    277,589.07/416,321.33 = 127,685.43/x
  3. Step 3: Cross multiply
    277,589.07x = 416,321.33 × 127,685.43
  4. Step 4: Simplify right side
    277,589.07x = 53,158,167,400.79
  5. Step 5: Solve for x
    x = 53,158,167,400.79/277,589.07
  6. Step 6: Final answer
    x = 191,499.50

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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.