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Finding the Fourth Proportional to 322,599.68, 483,900.24 and 97,961.84

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Solution

The fourth proportional to 322,599.68, 483,900.24 and 97,961.84 is: 146,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,599.68 : 483,900.24 = 97,961.84 : x
  2. Step 2: Convert to fraction form
    322,599.68/483,900.24 = 97,961.84/x
  3. Step 3: Cross multiply
    322,599.68x = 483,900.24 × 97,961.84
  4. Step 4: Simplify right side
    322,599.68x = 47,403,757,886.84
  5. Step 5: Solve for x
    x = 47,403,757,886.84/322,599.68
  6. Step 6: Final answer
    x = 146,942.98

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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.