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Finding the Fourth Proportional to 297,312.96, 410,292.99 and 161,346.90

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Solution

The fourth proportional to 297,312.96, 410,292.99 and 161,346.90 is: 222,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,312.96 : 410,292.99 = 161,346.90 : x
  2. Step 2: Convert to fraction form
    297,312.96/410,292.99 = 161,346.90/x
  3. Step 3: Cross multiply
    297,312.96x = 410,292.99 × 161,346.90
  4. Step 4: Simplify right side
    297,312.96x = 66,199,502,028.23
  5. Step 5: Solve for x
    x = 66,199,502,028.23/297,312.96
  6. Step 6: Final answer
    x = 222,659.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.