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Finding the Fourth Proportional to 358,940.20, 538,410.30 and 109,589.80

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Solution

The fourth proportional to 358,940.20, 538,410.30 and 109,589.80 is: 164,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,940.20 : 538,410.30 = 109,589.80 : x
  2. Step 2: Convert to fraction form
    358,940.20/538,410.30 = 109,589.80/x
  3. Step 3: Cross multiply
    358,940.20x = 538,410.30 × 109,589.80
  4. Step 4: Simplify right side
    358,940.20x = 59,004,277,094.94
  5. Step 5: Solve for x
    x = 59,004,277,094.94/358,940.20
  6. Step 6: Final answer
    x = 164,384.70

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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.