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Finding the Fourth Proportional to 393,105.72, 589,652.10 and 112,616.76

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Solution

The fourth proportional to 393,105.72, 589,652.10 and 112,616.76 is: 168,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,105.72 : 589,652.10 = 112,616.76 : x
  2. Step 2: Convert to fraction form
    393,105.72/589,652.10 = 112,616.76/x
  3. Step 3: Cross multiply
    393,105.72x = 589,652.10 × 112,616.76
  4. Step 4: Simplify right side
    393,105.72x = 66,404,709,029.20
  5. Step 5: Solve for x
    x = 66,404,709,029.20/393,105.72
  6. Step 6: Final answer
    x = 168,923.28

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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.