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Finding the Fourth Proportional to 311,923.44, 430,454.52 and 168,684.66

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Solution

The fourth proportional to 311,923.44, 430,454.52 and 168,684.66 is: 232,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923.44 : 430,454.52 = 168,684.66 : x
  2. Step 2: Convert to fraction form
    311,923.44/430,454.52 = 168,684.66/x
  3. Step 3: Cross multiply
    311,923.44x = 430,454.52 × 168,684.66
  4. Step 4: Simplify right side
    311,923.44x = 72,611,074,351.66
  5. Step 5: Solve for x
    x = 72,611,074,351.66/311,923.44
  6. Step 6: Final answer
    x = 232,784.92

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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.