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Finding the Fourth Proportional to 306,316.20, 422,654.32 and 178,967.19

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Solution

The fourth proportional to 306,316.20, 422,654.32 and 178,967.19 is: 246,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.20 : 422,654.32 = 178,967.19 : x
  2. Step 2: Convert to fraction form
    306,316.20/422,654.32 = 178,967.19/x
  3. Step 3: Cross multiply
    306,316.20x = 422,654.32 × 178,967.19
  4. Step 4: Simplify right side
    306,316.20x = 75,641,255,991.76
  5. Step 5: Solve for x
    x = 75,641,255,991.76/306,316.20
  6. Step 6: Final answer
    x = 246,938.48

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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.