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Finding the Fourth Proportional to 378,051.39, 521,710.61 and 208,285.52

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Solution

The fourth proportional to 378,051.39, 521,710.61 and 208,285.52 is: 287,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.39 : 521,710.61 = 208,285.52 : x
  2. Step 2: Convert to fraction form
    378,051.39/521,710.61 = 208,285.52/x
  3. Step 3: Cross multiply
    378,051.39x = 521,710.61 × 208,285.52
  4. Step 4: Simplify right side
    378,051.39x = 108,664,762,043.39
  5. Step 5: Solve for x
    x = 108,664,762,043.39/378,051.39
  6. Step 6: Final answer
    x = 287,433.84

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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.