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Finding the Fourth Proportional to 289,782.20, 433,751.70 and 206,838.20

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Solution

The fourth proportional to 289,782.20, 433,751.70 and 206,838.20 is: 309,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,782.20 : 433,751.70 = 206,838.20 : x
  2. Step 2: Convert to fraction form
    289,782.20/433,751.70 = 206,838.20/x
  3. Step 3: Cross multiply
    289,782.20x = 433,751.70 × 206,838.20
  4. Step 4: Simplify right side
    289,782.20x = 89,716,420,874.94
  5. Step 5: Solve for x
    x = 89,716,420,874.94/289,782.20
  6. Step 6: Final answer
    x = 309,599.49

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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.