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Finding the Fourth Proportional to 382,296.92, 527,583.31 and 210,228.08

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Solution

The fourth proportional to 382,296.92, 527,583.31 and 210,228.08 is: 290,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,296.92 : 527,583.31 = 210,228.08 : x
  2. Step 2: Convert to fraction form
    382,296.92/527,583.31 = 210,228.08/x
  3. Step 3: Cross multiply
    382,296.92x = 527,583.31 × 210,228.08
  4. Step 4: Simplify right side
    382,296.92x = 110,912,823,137.86
  5. Step 5: Solve for x
    x = 110,912,823,137.86/382,296.92
  6. Step 6: Final answer
    x = 290,122.20

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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.