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Finding the Fourth Proportional to 289,708.10, 434,562.15 and 205,727.30

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Solution

The fourth proportional to 289,708.10, 434,562.15 and 205,727.30 is: 308,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708.10 : 434,562.15 = 205,727.30 : x
  2. Step 2: Convert to fraction form
    289,708.10/434,562.15 = 205,727.30/x
  3. Step 3: Cross multiply
    289,708.10x = 434,562.15 × 205,727.30
  4. Step 4: Simplify right side
    289,708.10x = 89,401,297,801.70
  5. Step 5: Solve for x
    x = 89,401,297,801.70/289,708.10
  6. Step 6: Final answer
    x = 308,590.95

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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.