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Finding the Fourth Proportional to 378,077.56, 521,746.62 and 208,311.64

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Solution

The fourth proportional to 378,077.56, 521,746.62 and 208,311.64 is: 287,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.56 : 521,746.62 = 208,311.64 : x
  2. Step 2: Convert to fraction form
    378,077.56/521,746.62 = 208,311.64/x
  3. Step 3: Cross multiply
    378,077.56x = 521,746.62 × 208,311.64
  4. Step 4: Simplify right side
    378,077.56x = 108,685,894,076.66
  5. Step 5: Solve for x
    x = 108,685,894,076.66/378,077.56
  6. Step 6: Final answer
    x = 287,469.84

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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.