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Finding the Fourth Proportional to 295,507.94, 442,625.23 and 200,215.28

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Solution

The fourth proportional to 295,507.94, 442,625.23 and 200,215.28 is: 299,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,507.94 : 442,625.23 = 200,215.28 : x
  2. Step 2: Convert to fraction form
    295,507.94/442,625.23 = 200,215.28/x
  3. Step 3: Cross multiply
    295,507.94x = 442,625.23 × 200,215.28
  4. Step 4: Simplify right side
    295,507.94x = 88,620,333,358.44
  5. Step 5: Solve for x
    x = 88,620,333,358.44/295,507.94
  6. Step 6: Final answer
    x = 299,891.55

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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.