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Finding the Fourth Proportional to 296,516.90, 409,222.67 and 169,211.63

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Solution

The fourth proportional to 296,516.90, 409,222.67 and 169,211.63 is: 233,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,516.90 : 409,222.67 = 169,211.63 : x
  2. Step 2: Convert to fraction form
    296,516.90/409,222.67 = 169,211.63/x
  3. Step 3: Cross multiply
    296,516.90x = 409,222.67 × 169,211.63
  4. Step 4: Simplify right side
    296,516.90x = 69,245,235,200.65
  5. Step 5: Solve for x
    x = 69,245,235,200.65/296,516.90
  6. Step 6: Final answer
    x = 233,528.80

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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.