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Finding the Fourth Proportional to 483,462.29, 724,196.99 and 283,175.46

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Solution

The fourth proportional to 483,462.29, 724,196.99 and 283,175.46 is: 424,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,462.29 : 724,196.99 = 283,175.46 : x
  2. Step 2: Convert to fraction form
    483,462.29/724,196.99 = 283,175.46/x
  3. Step 3: Cross multiply
    483,462.29x = 724,196.99 × 283,175.46
  4. Step 4: Simplify right side
    483,462.29x = 205,074,816,481.80
  5. Step 5: Solve for x
    x = 205,074,816,481.80/483,462.29
  6. Step 6: Final answer
    x = 424,179.55

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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.