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Finding the Fourth Proportional to 483,252.28, 724,693.83 and 158,965

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Solution

The fourth proportional to 483,252.28, 724,693.83 and 158,965 is: 238,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,252.28 : 724,693.83 = 158,965 : x
  2. Step 2: Convert to fraction form
    483,252.28/724,693.83 = 158,965/x
  3. Step 3: Cross multiply
    483,252.28x = 724,693.83 × 158,965
  4. Step 4: Simplify right side
    483,252.28x = 115,200,954,685.95
  5. Step 5: Solve for x
    x = 115,200,954,685.95/483,252.28
  6. Step 6: Final answer
    x = 238,386.78

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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.