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Finding the Fourth Proportional to 397,473.82, 594,832.92 and 380,940.10

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Solution

The fourth proportional to 397,473.82, 594,832.92 and 380,940.10 is: 570,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,473.82 : 594,832.92 = 380,940.10 : x
  2. Step 2: Convert to fraction form
    397,473.82/594,832.92 = 380,940.10/x
  3. Step 3: Cross multiply
    397,473.82x = 594,832.92 × 380,940.10
  4. Step 4: Simplify right side
    397,473.82x = 226,595,709,112.48
  5. Step 5: Solve for x
    x = 226,595,709,112.48/397,473.82
  6. Step 6: Final answer
    x = 570,089.65

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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.