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Finding the Fourth Proportional to 483,462.80, 724,319.40 and 394,233.20

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Solution

The fourth proportional to 483,462.80, 724,319.40 and 394,233.20 is: 590,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,462.80 : 724,319.40 = 394,233.20 : x
  2. Step 2: Convert to fraction form
    483,462.80/724,319.40 = 394,233.20/x
  3. Step 3: Cross multiply
    483,462.80x = 724,319.40 × 394,233.20
  4. Step 4: Simplify right side
    483,462.80x = 285,550,754,884.08
  5. Step 5: Solve for x
    x = 285,550,754,884.08/483,462.80
  6. Step 6: Final answer
    x = 590,636.46

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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.