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Finding the Fourth Proportional to 808,586.20, 1,212,709.20 and 408,851.20

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Solution

The fourth proportional to 808,586.20, 1,212,709.20 and 408,851.20 is: 613,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,586.20 : 1,212,709.20 = 408,851.20 : x
  2. Step 2: Convert to fraction form
    808,586.20/1,212,709.20 = 408,851.20/x
  3. Step 3: Cross multiply
    808,586.20x = 1,212,709.20 × 408,851.20
  4. Step 4: Simplify right side
    808,586.20x = 495,817,611,671.04
  5. Step 5: Solve for x
    x = 495,817,611,671.04/808,586.20
  6. Step 6: Final answer
    x = 613,190.79

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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.