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Finding the Fourth Proportional to 482,869.80, 724,301.10 and 145,909.80

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Solution

The fourth proportional to 482,869.80, 724,301.10 and 145,909.80 is: 218,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,869.80 : 724,301.10 = 145,909.80 : x
  2. Step 2: Convert to fraction form
    482,869.80/724,301.10 = 145,909.80/x
  3. Step 3: Cross multiply
    482,869.80x = 724,301.10 × 145,909.80
  4. Step 4: Simplify right side
    482,869.80x = 105,682,628,640.78
  5. Step 5: Solve for x
    x = 105,682,628,640.78/482,869.80
  6. Step 6: Final answer
    x = 218,863.61

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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.