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Finding the Fourth Proportional to 378,129.44, 521,829.56 and 208,374.50

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Solution

The fourth proportional to 378,129.44, 521,829.56 and 208,374.50 is: 287,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,129.44 : 521,829.56 = 208,374.50 : x
  2. Step 2: Convert to fraction form
    378,129.44/521,829.56 = 208,374.50/x
  3. Step 3: Cross multiply
    378,129.44x = 521,829.56 × 208,374.50
  4. Step 4: Simplify right side
    378,129.44x = 108,735,973,650.22
  5. Step 5: Solve for x
    x = 108,735,973,650.22/378,129.44
  6. Step 6: Final answer
    x = 287,562.83

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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.