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Finding the Fourth Proportional to 378,647.72, 567,874.38 and 112,345.24

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Solution

The fourth proportional to 378,647.72, 567,874.38 and 112,345.24 is: 168,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,647.72 : 567,874.38 = 112,345.24 : x
  2. Step 2: Convert to fraction form
    378,647.72/567,874.38 = 112,345.24/x
  3. Step 3: Cross multiply
    378,647.72x = 567,874.38 × 112,345.24
  4. Step 4: Simplify right side
    378,647.72x = 63,797,983,510.95
  5. Step 5: Solve for x
    x = 63,797,983,510.95/378,647.72
  6. Step 6: Final answer
    x = 168,489.02

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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.