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Finding the Fourth Proportional to 382,161.02, 527,388.80 and 210,086.24

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Solution

The fourth proportional to 382,161.02, 527,388.80 and 210,086.24 is: 289,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,161.02 : 527,388.80 = 210,086.24 : x
  2. Step 2: Convert to fraction form
    382,161.02/527,388.80 = 210,086.24/x
  3. Step 3: Cross multiply
    382,161.02x = 527,388.80 × 210,086.24
  4. Step 4: Simplify right side
    382,161.02x = 110,797,126,322.74
  5. Step 5: Solve for x
    x = 110,797,126,322.74/382,161.02
  6. Step 6: Final answer
    x = 289,922.63

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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.