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Finding the Fourth Proportional to 322,349, 483,611 and 97,716.77

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Solution

The fourth proportional to 322,349, 483,611 and 97,716.77 is: 146,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,349 : 483,611 = 97,716.77 : x
  2. Step 2: Convert to fraction form
    322,349/483,611 = 97,716.77/x
  3. Step 3: Cross multiply
    322,349x = 483,611 × 97,716.77
  4. Step 4: Simplify right side
    322,349x = 47,256,904,856.47
  5. Step 5: Solve for x
    x = 47,256,904,856.47/322,349
  6. Step 6: Final answer
    x = 146,601.68

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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.