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Finding the Fourth Proportional to 378,619.32, 522,494.70 and 208,853.88

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Solution

The fourth proportional to 378,619.32, 522,494.70 and 208,853.88 is: 288,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,619.32 : 522,494.70 = 208,853.88 : x
  2. Step 2: Convert to fraction form
    378,619.32/522,494.70 = 208,853.88/x
  3. Step 3: Cross multiply
    378,619.32x = 522,494.70 × 208,853.88
  4. Step 4: Simplify right side
    378,619.32x = 109,125,045,374.44
  5. Step 5: Solve for x
    x = 109,125,045,374.44/378,619.32
  6. Step 6: Final answer
    x = 288,218.38

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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.