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Finding the Fourth Proportional to 278,678.60, 384,577.22 and 163,961.57

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Solution

The fourth proportional to 278,678.60, 384,577.22 and 163,961.57 is: 226,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,678.60 : 384,577.22 = 163,961.57 : x
  2. Step 2: Convert to fraction form
    278,678.60/384,577.22 = 163,961.57/x
  3. Step 3: Cross multiply
    278,678.60x = 384,577.22 × 163,961.57
  4. Step 4: Simplify right side
    278,678.60x = 63,055,882,034.74
  5. Step 5: Solve for x
    x = 63,055,882,034.74/278,678.60
  6. Step 6: Final answer
    x = 226,267.40

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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.