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Finding the Fourth Proportional to 312,268.38, 430,818.39 and 178,054.62

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Solution

The fourth proportional to 312,268.38, 430,818.39 and 178,054.62 is: 245,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,268.38 : 430,818.39 = 178,054.62 : x
  2. Step 2: Convert to fraction form
    312,268.38/430,818.39 = 178,054.62/x
  3. Step 3: Cross multiply
    312,268.38x = 430,818.39 × 178,054.62
  4. Step 4: Simplify right side
    312,268.38x = 76,709,204,720.46
  5. Step 5: Solve for x
    x = 76,709,204,720.46/312,268.38
  6. Step 6: Final answer
    x = 245,651.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.