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Finding the Fourth Proportional to 365,065.44, 547,599.24 and 112,344

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Solution

The fourth proportional to 365,065.44, 547,599.24 and 112,344 is: 168,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,065.44 : 547,599.24 = 112,344 : x
  2. Step 2: Convert to fraction form
    365,065.44/547,599.24 = 112,344/x
  3. Step 3: Cross multiply
    365,065.44x = 547,599.24 × 112,344
  4. Step 4: Simplify right side
    365,065.44x = 61,519,489,018.56
  5. Step 5: Solve for x
    x = 61,519,489,018.56/365,065.44
  6. Step 6: Final answer
    x = 168,516.33

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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.