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Finding the Fourth Proportional to 343,295.20, 514,165.20 and 203,327.20

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Solution

The fourth proportional to 343,295.20, 514,165.20 and 203,327.20 is: 304,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,295.20 : 514,165.20 = 203,327.20 : x
  2. Step 2: Convert to fraction form
    343,295.20/514,165.20 = 203,327.20/x
  3. Step 3: Cross multiply
    343,295.20x = 514,165.20 × 203,327.20
  4. Step 4: Simplify right side
    343,295.20x = 104,543,770,453.44
  5. Step 5: Solve for x
    x = 104,543,770,453.44/343,295.20
  6. Step 6: Final answer
    x = 304,530.24

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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.