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Finding the Fourth Proportional to 492,004.92, 738,111.06 and 159,555

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Solution

The fourth proportional to 492,004.92, 738,111.06 and 159,555 is: 239,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,004.92 : 738,111.06 = 159,555 : x
  2. Step 2: Convert to fraction form
    492,004.92/738,111.06 = 159,555/x
  3. Step 3: Cross multiply
    492,004.92x = 738,111.06 × 159,555
  4. Step 4: Simplify right side
    492,004.92x = 117,769,310,178.30
  5. Step 5: Solve for x
    x = 117,769,310,178.30/492,004.92
  6. Step 6: Final answer
    x = 239,366.12

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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.