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Finding the Fourth Proportional to 269,107.70, 403,315.95 and 206,467.70

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Solution

The fourth proportional to 269,107.70, 403,315.95 and 206,467.70 is: 309,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,107.70 : 403,315.95 = 206,467.70 : x
  2. Step 2: Convert to fraction form
    269,107.70/403,315.95 = 206,467.70/x
  3. Step 3: Cross multiply
    269,107.70x = 403,315.95 × 206,467.70
  4. Step 4: Simplify right side
    269,107.70x = 83,271,716,569.82
  5. Step 5: Solve for x
    x = 83,271,716,569.82/269,107.70
  6. Step 6: Final answer
    x = 309,436.40

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1.5x scale

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.