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Finding the Fourth Proportional to 412,383.08, 569,085.18 and 378,528.32

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Solution

The fourth proportional to 412,383.08, 569,085.18 and 378,528.32 is: 522,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,383.08 : 569,085.18 = 378,528.32 : x
  2. Step 2: Convert to fraction form
    412,383.08/569,085.18 = 378,528.32/x
  3. Step 3: Cross multiply
    412,383.08x = 569,085.18 × 378,528.32
  4. Step 4: Simplify right side
    412,383.08x = 215,414,857,122.30
  5. Step 5: Solve for x
    x = 215,414,857,122.30/412,383.08
  6. Step 6: Final answer
    x = 522,365.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.