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Finding the Fourth Proportional to 807,801.70, 1,212,686.70 and 408,236.80

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Solution

The fourth proportional to 807,801.70, 1,212,686.70 and 408,236.80 is: 612,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,801.70 : 1,212,686.70 = 408,236.80 : x
  2. Step 2: Convert to fraction form
    807,801.70/1,212,686.70 = 408,236.80/x
  3. Step 3: Cross multiply
    807,801.70x = 1,212,686.70 × 408,236.80
  4. Step 4: Simplify right side
    807,801.70x = 495,063,337,810.56
  5. Step 5: Solve for x
    x = 495,063,337,810.56/807,801.70
  6. Step 6: Final answer
    x = 612,852.56

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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.