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Finding the Fourth Proportional to 306,211.32, 422,654.76 and 198,775.08

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Solution

The fourth proportional to 306,211.32, 422,654.76 and 198,775.08 is: 274,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,211.32 : 422,654.76 = 198,775.08 : x
  2. Step 2: Convert to fraction form
    306,211.32/422,654.76 = 198,775.08/x
  3. Step 3: Cross multiply
    306,211.32x = 422,654.76 × 198,775.08
  4. Step 4: Simplify right side
    306,211.32x = 84,013,233,731.38
  5. Step 5: Solve for x
    x = 84,013,233,731.38/306,211.32
  6. Step 6: Final answer
    x = 274,363.58

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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.