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Finding the Fourth Proportional to 278,464.68, 384,241.86 and 165,332.52

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Solution

The fourth proportional to 278,464.68, 384,241.86 and 165,332.52 is: 228,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.68 : 384,241.86 = 165,332.52 : x
  2. Step 2: Convert to fraction form
    278,464.68/384,241.86 = 165,332.52/x
  3. Step 3: Cross multiply
    278,464.68x = 384,241.86 × 165,332.52
  4. Step 4: Simplify right side
    278,464.68x = 63,527,675,003.29
  5. Step 5: Solve for x
    x = 63,527,675,003.29/278,464.68
  6. Step 6: Final answer
    x = 228,135.49

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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.