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Finding the Fourth Proportional to 340,064.68, 469,239.72 and 204,069.72

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Solution

The fourth proportional to 340,064.68, 469,239.72 and 204,069.72 is: 281,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,064.68 : 469,239.72 = 204,069.72 : x
  2. Step 2: Convert to fraction form
    340,064.68/469,239.72 = 204,069.72/x
  3. Step 3: Cross multiply
    340,064.68x = 469,239.72 × 204,069.72
  4. Step 4: Simplify right side
    340,064.68x = 95,757,618,273.28
  5. Step 5: Solve for x
    x = 95,757,618,273.28/340,064.68
  6. Step 6: Final answer
    x = 281,586.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.