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Finding the Fourth Proportional to 483,281.96, 724,523.82 and 213,217.64

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Solution

The fourth proportional to 483,281.96, 724,523.82 and 213,217.64 is: 319,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,281.96 : 724,523.82 = 213,217.64 : x
  2. Step 2: Convert to fraction form
    483,281.96/724,523.82 = 213,217.64/x
  3. Step 3: Cross multiply
    483,281.96x = 724,523.82 × 213,217.64
  4. Step 4: Simplify right side
    483,281.96x = 154,481,259,024.19
  5. Step 5: Solve for x
    x = 154,481,259,024.19/483,281.96
  6. Step 6: Final answer
    x = 319,650.37

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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.