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Finding the Fourth Proportional to 277,628.57, 416,608.74 and 255,042.32

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Solution

The fourth proportional to 277,628.57, 416,608.74 and 255,042.32 is: 382,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,628.57 : 416,608.74 = 255,042.32 : x
  2. Step 2: Convert to fraction form
    277,628.57/416,608.74 = 255,042.32/x
  3. Step 3: Cross multiply
    277,628.57x = 416,608.74 × 255,042.32
  4. Step 4: Simplify right side
    277,628.57x = 106,252,857,498.83
  5. Step 5: Solve for x
    x = 106,252,857,498.83/277,628.57
  6. Step 6: Final answer
    x = 382,715.87

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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.