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Finding the Fourth Proportional to 378,662.64, 567,993.78 and 112,423.02

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Solution

The fourth proportional to 378,662.64, 567,993.78 and 112,423.02 is: 168,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,662.64 : 567,993.78 = 112,423.02 : x
  2. Step 2: Convert to fraction form
    378,662.64/567,993.78 = 112,423.02/x
  3. Step 3: Cross multiply
    378,662.64x = 567,993.78 × 112,423.02
  4. Step 4: Simplify right side
    378,662.64x = 63,855,576,088.82
  5. Step 5: Solve for x
    x = 63,855,576,088.82/378,662.64
  6. Step 6: Final answer
    x = 168,634.48

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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.