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Finding the Fourth Proportional to 308,408.10, 462,320.55 and 182,145.30

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Solution

The fourth proportional to 308,408.10, 462,320.55 and 182,145.30 is: 273,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,408.10 : 462,320.55 = 182,145.30 : x
  2. Step 2: Convert to fraction form
    308,408.10/462,320.55 = 182,145.30/x
  3. Step 3: Cross multiply
    308,408.10x = 462,320.55 × 182,145.30
  4. Step 4: Simplify right side
    308,408.10x = 84,209,515,275.92
  5. Step 5: Solve for x
    x = 84,209,515,275.92/308,408.10
  6. Step 6: Final answer
    x = 273,045.73

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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.