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Finding the Fourth Proportional to 297,689.72, 410,810.18 and 161,722.60

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Solution

The fourth proportional to 297,689.72, 410,810.18 and 161,722.60 is: 223,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,689.72 : 410,810.18 = 161,722.60 : x
  2. Step 2: Convert to fraction form
    297,689.72/410,810.18 = 161,722.60/x
  3. Step 3: Cross multiply
    297,689.72x = 410,810.18 × 161,722.60
  4. Step 4: Simplify right side
    297,689.72x = 66,437,290,416.07
  5. Step 5: Solve for x
    x = 66,437,290,416.07/297,689.72
  6. Step 6: Final answer
    x = 223,176.30

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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.