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Finding the Fourth Proportional to 378,376.30, 522,162.84 and 208,616.50

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Solution

The fourth proportional to 378,376.30, 522,162.84 and 208,616.50 is: 287,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,376.30 : 522,162.84 = 208,616.50 : x
  2. Step 2: Convert to fraction form
    378,376.30/522,162.84 = 208,616.50/x
  3. Step 3: Cross multiply
    378,376.30x = 522,162.84 × 208,616.50
  4. Step 4: Simplify right side
    378,376.30x = 108,931,784,110.86
  5. Step 5: Solve for x
    x = 108,931,784,110.86/378,376.30
  6. Step 6: Final answer
    x = 287,892.73

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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.