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Finding the Fourth Proportional to 278,534.40, 384,426.56 and 157,682.56

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Solution

The fourth proportional to 278,534.40, 384,426.56 and 157,682.56 is: 217,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,534.40 : 384,426.56 = 157,682.56 : x
  2. Step 2: Convert to fraction form
    278,534.40/384,426.56 = 157,682.56/x
  3. Step 3: Cross multiply
    278,534.40x = 384,426.56 × 157,682.56
  4. Step 4: Simplify right side
    278,534.40x = 60,617,364,112.79
  5. Step 5: Solve for x
    x = 60,617,364,112.79/278,534.40
  6. Step 6: Final answer
    x = 217,629.72

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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.