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Finding the Fourth Proportional to 408,718.84, 612,517.14 and 208,617.72

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Solution

The fourth proportional to 408,718.84, 612,517.14 and 208,617.72 is: 312,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,718.84 : 612,517.14 = 208,617.72 : x
  2. Step 2: Convert to fraction form
    408,718.84/612,517.14 = 208,617.72/x
  3. Step 3: Cross multiply
    408,718.84x = 612,517.14 × 208,617.72
  4. Step 4: Simplify right side
    408,718.84x = 127,781,929,207.72
  5. Step 5: Solve for x
    x = 127,781,929,207.72/408,718.84
  6. Step 6: Final answer
    x = 312,640.17

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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.