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Finding the Fourth Proportional to 269,117.20, 403,330.20 and 206,477.20

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Solution

The fourth proportional to 269,117.20, 403,330.20 and 206,477.20 is: 309,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,117.20 : 403,330.20 = 206,477.20 : x
  2. Step 2: Convert to fraction form
    269,117.20/403,330.20 = 206,477.20/x
  3. Step 3: Cross multiply
    269,117.20x = 403,330.20 × 206,477.20
  4. Step 4: Simplify right side
    269,117.20x = 83,278,490,371.44
  5. Step 5: Solve for x
    x = 83,278,490,371.44/269,117.20
  6. Step 6: Final answer
    x = 309,450.64

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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.