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Finding the Fourth Proportional to 297,376.14, 410,378.04 and 161,410.08

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Solution

The fourth proportional to 297,376.14, 410,378.04 and 161,410.08 is: 222,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.14 : 410,378.04 = 161,410.08 : x
  2. Step 2: Convert to fraction form
    297,376.14/410,378.04 = 161,410.08/x
  3. Step 3: Cross multiply
    297,376.14x = 410,378.04 × 161,410.08
  4. Step 4: Simplify right side
    297,376.14x = 66,239,152,266.64
  5. Step 5: Solve for x
    x = 66,239,152,266.64/297,376.14
  6. Step 6: Final answer
    x = 222,745.35

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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.