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Finding the Fourth Proportional to 543,196.62, 814,794.87 and 289,709.16

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Solution

The fourth proportional to 543,196.62, 814,794.87 and 289,709.16 is: 434,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,196.62 : 814,794.87 = 289,709.16 : x
  2. Step 2: Convert to fraction form
    543,196.62/814,794.87 = 289,709.16/x
  3. Step 3: Cross multiply
    543,196.62x = 814,794.87 × 289,709.16
  4. Step 4: Simplify right side
    543,196.62x = 236,053,537,360.01
  5. Step 5: Solve for x
    x = 236,053,537,360.01/543,196.62
  6. Step 6: Final answer
    x = 434,563.71

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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.