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Finding the Fourth Proportional to 412,114.64, 568,995.90 and 257,301.87

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Solution

The fourth proportional to 412,114.64, 568,995.90 and 257,301.87 is: 355,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,114.64 : 568,995.90 = 257,301.87 : x
  2. Step 2: Convert to fraction form
    412,114.64/568,995.90 = 257,301.87/x
  3. Step 3: Cross multiply
    412,114.64x = 568,995.90 × 257,301.87
  4. Step 4: Simplify right side
    412,114.64x = 146,403,709,092.33
  5. Step 5: Solve for x
    x = 146,403,709,092.33/412,114.64
  6. Step 6: Final answer
    x = 355,249.96

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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.