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Finding the Fourth Proportional to 805,846.88, 1,208,813.44 and 206,813.20

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Solution

The fourth proportional to 805,846.88, 1,208,813.44 and 206,813.20 is: 310,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,846.88 : 1,208,813.44 = 206,813.20 : x
  2. Step 2: Convert to fraction form
    805,846.88/1,208,813.44 = 206,813.20/x
  3. Step 3: Cross multiply
    805,846.88x = 1,208,813.44 × 206,813.20
  4. Step 4: Simplify right side
    805,846.88x = 249,998,575,729.41
  5. Step 5: Solve for x
    x = 249,998,575,729.41/805,846.88
  6. Step 6: Final answer
    x = 310,230.87

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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.