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Finding the Fourth Proportional to 378,251.64, 567,396.90 and 97,771.32

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Solution

The fourth proportional to 378,251.64, 567,396.90 and 97,771.32 is: 146,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,251.64 : 567,396.90 = 97,771.32 : x
  2. Step 2: Convert to fraction form
    378,251.64/567,396.90 = 97,771.32/x
  3. Step 3: Cross multiply
    378,251.64x = 567,396.90 × 97,771.32
  4. Step 4: Simplify right side
    378,251.64x = 55,475,143,876.91
  5. Step 5: Solve for x
    x = 55,475,143,876.91/378,251.64
  6. Step 6: Final answer
    x = 146,662.00

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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.