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Finding the Fourth Proportional to 382,509.32, 527,846.22 and 210,416.37

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Solution

The fourth proportional to 382,509.32, 527,846.22 and 210,416.37 is: 290,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,509.32 : 527,846.22 = 210,416.37 : x
  2. Step 2: Convert to fraction form
    382,509.32/527,846.22 = 210,416.37/x
  3. Step 3: Cross multiply
    382,509.32x = 527,846.22 × 210,416.37
  4. Step 4: Simplify right side
    382,509.32x = 111,067,485,530.62
  5. Step 5: Solve for x
    x = 111,067,485,530.62/382,509.32
  6. Step 6: Final answer
    x = 290,365.44

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Why These Related Problems?

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