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Finding the Fourth Proportional to 322,599.42, 483,865.92 and 97,950.78

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Solution

The fourth proportional to 322,599.42, 483,865.92 and 97,950.78 is: 146,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,599.42 : 483,865.92 = 97,950.78 : x
  2. Step 2: Convert to fraction form
    322,599.42/483,865.92 = 97,950.78/x
  3. Step 3: Cross multiply
    322,599.42x = 483,865.92 × 97,950.78
  4. Step 4: Simplify right side
    322,599.42x = 47,395,044,279.42
  5. Step 5: Solve for x
    x = 47,395,044,279.42/322,599.42
  6. Step 6: Final answer
    x = 146,916.09

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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.