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Finding the Fourth Proportional to 378,095.79, 567,310.44 and 200,559.24

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Solution

The fourth proportional to 378,095.79, 567,310.44 and 200,559.24 is: 300,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,095.79 : 567,310.44 = 200,559.24 : x
  2. Step 2: Convert to fraction form
    378,095.79/567,310.44 = 200,559.24/x
  3. Step 3: Cross multiply
    378,095.79x = 567,310.44 × 200,559.24
  4. Step 4: Simplify right side
    378,095.79x = 113,779,350,690.47
  5. Step 5: Solve for x
    x = 113,779,350,690.47/378,095.79
  6. Step 6: Final answer
    x = 300,927.31

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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.