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Finding the Fourth Proportional to 482,732.94, 724,203.23 and 162,892.75

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Solution

The fourth proportional to 482,732.94, 724,203.23 and 162,892.75 is: 244,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,732.94 : 724,203.23 = 162,892.75 : x
  2. Step 2: Convert to fraction form
    482,732.94/724,203.23 = 162,892.75/x
  3. Step 3: Cross multiply
    482,732.94x = 724,203.23 × 162,892.75
  4. Step 4: Simplify right side
    482,732.94x = 117,967,453,305.94
  5. Step 5: Solve for x
    x = 117,967,453,305.94/482,732.94
  6. Step 6: Final answer
    x = 244,374.15

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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.