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Finding the Fourth Proportional to 206,427.30, 288,648.30 and 206,427.30

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Solution

The fourth proportional to 206,427.30, 288,648.30 and 206,427.30 is: 288,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427.30 : 288,648.30 = 206,427.30 : x
  2. Step 2: Convert to fraction form
    206,427.30/288,648.30 = 206,427.30/x
  3. Step 3: Cross multiply
    206,427.30x = 288,648.30 × 206,427.30
  4. Step 4: Simplify right side
    206,427.30x = 59,584,889,218.59
  5. Step 5: Solve for x
    x = 59,584,889,218.59/206,427.30
  6. Step 6: Final answer
    x = 288,648.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.