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Finding the Fourth Proportional to 269,166.20, 403,403.70 and 206,526.20

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Solution

The fourth proportional to 269,166.20, 403,403.70 and 206,526.20 is: 309,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,166.20 : 403,403.70 = 206,526.20 : x
  2. Step 2: Convert to fraction form
    269,166.20/403,403.70 = 206,526.20/x
  3. Step 3: Cross multiply
    269,166.20x = 403,403.70 × 206,526.20
  4. Step 4: Simplify right side
    269,166.20x = 83,313,433,226.94
  5. Step 5: Solve for x
    x = 83,313,433,226.94/269,166.20
  6. Step 6: Final answer
    x = 309,524.13

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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.