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Finding the Fourth Proportional to 482,723.80, 724,082.10 and 145,763.80

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Solution

The fourth proportional to 482,723.80, 724,082.10 and 145,763.80 is: 218,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,723.80 : 724,082.10 = 145,763.80 : x
  2. Step 2: Convert to fraction form
    482,723.80/724,082.10 = 145,763.80/x
  3. Step 3: Cross multiply
    482,723.80x = 724,082.10 × 145,763.80
  4. Step 4: Simplify right side
    482,723.80x = 105,544,958,407.98
  5. Step 5: Solve for x
    x = 105,544,958,407.98/482,723.80
  6. Step 6: Final answer
    x = 218,644.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.