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Finding the Fourth Proportional to 322,403.10, 483,604.65 and 289,743.90

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Solution

The fourth proportional to 322,403.10, 483,604.65 and 289,743.90 is: 434,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403.10 : 483,604.65 = 289,743.90 : x
  2. Step 2: Convert to fraction form
    322,403.10/483,604.65 = 289,743.90/x
  3. Step 3: Cross multiply
    322,403.10x = 483,604.65 × 289,743.90
  4. Step 4: Simplify right side
    322,403.10x = 140,121,497,349.14
  5. Step 5: Solve for x
    x = 140,121,497,349.14/322,403.10
  6. Step 6: Final answer
    x = 434,615.85

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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.