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Finding the Fourth Proportional to 378,049.14, 521,707.50 and 208,283.27

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Solution

The fourth proportional to 378,049.14, 521,707.50 and 208,283.27 is: 287,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049.14 : 521,707.50 = 208,283.27 : x
  2. Step 2: Convert to fraction form
    378,049.14/521,707.50 = 208,283.27/x
  3. Step 3: Cross multiply
    378,049.14x = 521,707.50 × 208,283.27
  4. Step 4: Simplify right side
    378,049.14x = 108,662,941,474.99
  5. Step 5: Solve for x
    x = 108,662,941,474.99/378,049.14
  6. Step 6: Final answer
    x = 287,430.73

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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.