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Finding the Fourth Proportional to 409,066.31, 564,499.93 and 222,793.54

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Solution

The fourth proportional to 409,066.31, 564,499.93 and 222,793.54 is: 307,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,066.31 : 564,499.93 = 222,793.54 : x
  2. Step 2: Convert to fraction form
    409,066.31/564,499.93 = 222,793.54/x
  3. Step 3: Cross multiply
    409,066.31x = 564,499.93 × 222,793.54
  4. Step 4: Simplify right side
    409,066.31x = 125,766,937,734.45
  5. Step 5: Solve for x
    x = 125,766,937,734.45/409,066.31
  6. Step 6: Final answer
    x = 307,448.78

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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.