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Finding the Fourth Proportional to 297,690.30, 410,810.99 and 161,723.16

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Solution

The fourth proportional to 297,690.30, 410,810.99 and 161,723.16 is: 223,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,690.30 : 410,810.99 = 161,723.16 : x
  2. Step 2: Convert to fraction form
    297,690.30/410,810.99 = 161,723.16/x
  3. Step 3: Cross multiply
    297,690.30x = 410,810.99 × 161,723.16
  4. Step 4: Simplify right side
    297,690.30x = 66,437,650,656.91
  5. Step 5: Solve for x
    x = 66,437,650,656.91/297,690.30
  6. Step 6: Final answer
    x = 223,177.08

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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.