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Finding the Fourth Proportional to 289,795.70, 433,771.95 and 206,851.70

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Solution

The fourth proportional to 289,795.70, 433,771.95 and 206,851.70 is: 309,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,795.70 : 433,771.95 = 206,851.70 : x
  2. Step 2: Convert to fraction form
    289,795.70/433,771.95 = 206,851.70/x
  3. Step 3: Cross multiply
    289,795.70x = 433,771.95 × 206,851.70
  4. Step 4: Simplify right side
    289,795.70x = 89,726,465,269.82
  5. Step 5: Solve for x
    x = 89,726,465,269.82/289,795.70
  6. Step 6: Final answer
    x = 309,619.73

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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.