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Finding the Fourth Proportional to 517,659.86, 714,496.48 and 299,833.44

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Solution

The fourth proportional to 517,659.86, 714,496.48 and 299,833.44 is: 413,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,659.86 : 714,496.48 = 299,833.44 : x
  2. Step 2: Convert to fraction form
    517,659.86/714,496.48 = 299,833.44/x
  3. Step 3: Cross multiply
    517,659.86x = 714,496.48 × 299,833.44
  4. Step 4: Simplify right side
    517,659.86x = 214,229,936,716.71
  5. Step 5: Solve for x
    x = 214,229,936,716.71/517,659.86
  6. Step 6: Final answer
    x = 413,843.06

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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.