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Finding the Fourth Proportional to 297,626.46, 410,727.51 and 161,663.10

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Solution

The fourth proportional to 297,626.46, 410,727.51 and 161,663.10 is: 223,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,626.46 : 410,727.51 = 161,663.10 : x
  2. Step 2: Convert to fraction form
    297,626.46/410,727.51 = 161,663.10/x
  3. Step 3: Cross multiply
    297,626.46x = 410,727.51 × 161,663.10
  4. Step 4: Simplify right side
    297,626.46x = 66,399,482,521.88
  5. Step 5: Solve for x
    x = 66,399,482,521.88/297,626.46
  6. Step 6: Final answer
    x = 223,096.70

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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.