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Finding the Fourth Proportional to 522,047.08, 782,519.82 and 206,069.32

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Solution

The fourth proportional to 522,047.08, 782,519.82 and 206,069.32 is: 308,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,047.08 : 782,519.82 = 206,069.32 : x
  2. Step 2: Convert to fraction form
    522,047.08/782,519.82 = 206,069.32/x
  3. Step 3: Cross multiply
    522,047.08x = 782,519.82 × 206,069.32
  4. Step 4: Simplify right side
    522,047.08x = 161,253,327,193.92
  5. Step 5: Solve for x
    x = 161,253,327,193.92/522,047.08
  6. Step 6: Final answer
    x = 308,886.56

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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.