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Finding the Fourth Proportional to 297,508, 410,549.82 and 161,539.01

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Solution

The fourth proportional to 297,508, 410,549.82 and 161,539.01 is: 222,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508 : 410,549.82 = 161,539.01 : x
  2. Step 2: Convert to fraction form
    297,508/410,549.82 = 161,539.01/x
  3. Step 3: Cross multiply
    297,508x = 410,549.82 × 161,539.01
  4. Step 4: Simplify right side
    297,508x = 66,319,811,478.48
  5. Step 5: Solve for x
    x = 66,319,811,478.48/297,508
  6. Step 6: Final answer
    x = 222,917.74

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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.