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Finding the Fourth Proportional to 378,742.74, 522,664.62 and 208,976.88

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Solution

The fourth proportional to 378,742.74, 522,664.62 and 208,976.88 is: 288,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,742.74 : 522,664.62 = 208,976.88 : x
  2. Step 2: Convert to fraction form
    378,742.74/522,664.62 = 208,976.88/x
  3. Step 3: Cross multiply
    378,742.74x = 522,664.62 × 208,976.88
  4. Step 4: Simplify right side
    378,742.74x = 109,224,821,573.99
  5. Step 5: Solve for x
    x = 109,224,821,573.99/378,742.74
  6. Step 6: Final answer
    x = 288,387.90

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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.