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Finding the Fourth Proportional to 378,738.74, 522,659.10 and 208,972.88

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Solution

The fourth proportional to 378,738.74, 522,659.10 and 208,972.88 is: 288,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,738.74 : 522,659.10 = 208,972.88 : x
  2. Step 2: Convert to fraction form
    378,738.74/522,659.10 = 208,972.88/x
  3. Step 3: Cross multiply
    378,738.74x = 522,659.10 × 208,972.88
  4. Step 4: Simplify right side
    378,738.74x = 109,221,577,385.21
  5. Step 5: Solve for x
    x = 109,221,577,385.21/378,738.74
  6. Step 6: Final answer
    x = 288,382.38

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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.