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Finding the Fourth Proportional to 300,723.65, 414,998.96 and 162,902.90

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Solution

The fourth proportional to 300,723.65, 414,998.96 and 162,902.90 is: 224,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,723.65 : 414,998.96 = 162,902.90 : x
  2. Step 2: Convert to fraction form
    300,723.65/414,998.96 = 162,902.90/x
  3. Step 3: Cross multiply
    300,723.65x = 414,998.96 × 162,902.90
  4. Step 4: Simplify right side
    300,723.65x = 67,604,531,191.47
  5. Step 5: Solve for x
    x = 67,604,531,191.47/300,723.65
  6. Step 6: Final answer
    x = 224,806.17

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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.