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Finding the Fourth Proportional to 297,365.01, 410,364.17 and 161,399.01

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Solution

The fourth proportional to 297,365.01, 410,364.17 and 161,399.01 is: 222,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,365.01 : 410,364.17 = 161,399.01 : x
  2. Step 2: Convert to fraction form
    297,365.01/410,364.17 = 161,399.01/x
  3. Step 3: Cross multiply
    297,365.01x = 410,364.17 × 161,399.01
  4. Step 4: Simplify right side
    297,365.01x = 66,232,370,777.47
  5. Step 5: Solve for x
    x = 66,232,370,777.47/297,365.01
  6. Step 6: Final answer
    x = 222,730.88

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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.