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Finding the Fourth Proportional to 483,314.72, 724,572.95 and 213,250.59

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Solution

The fourth proportional to 483,314.72, 724,572.95 and 213,250.59 is: 319,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,314.72 : 724,572.95 = 213,250.59 : x
  2. Step 2: Convert to fraction form
    483,314.72/724,572.95 = 213,250.59/x
  3. Step 3: Cross multiply
    483,314.72x = 724,572.95 × 213,250.59
  4. Step 4: Simplify right side
    483,314.72x = 154,515,608,019.29
  5. Step 5: Solve for x
    x = 154,515,608,019.29/483,314.72
  6. Step 6: Final answer
    x = 319,699.78

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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.