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Finding the Fourth Proportional to 277,717.87, 416,296.27 and 109,356.34

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Solution

The fourth proportional to 277,717.87, 416,296.27 and 109,356.34 is: 163,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,717.87 : 416,296.27 = 109,356.34 : x
  2. Step 2: Convert to fraction form
    277,717.87/416,296.27 = 109,356.34/x
  3. Step 3: Cross multiply
    277,717.87x = 416,296.27 × 109,356.34
  4. Step 4: Simplify right side
    277,717.87x = 45,524,636,442.85
  5. Step 5: Solve for x
    x = 45,524,636,442.85/277,717.87
  6. Step 6: Final answer
    x = 163,924.04

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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.