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Finding the Fourth Proportional to 414,843.87, 572,503.92 and 251,505.47

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Solution

The fourth proportional to 414,843.87, 572,503.92 and 251,505.47 is: 347,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,843.87 : 572,503.92 = 251,505.47 : x
  2. Step 2: Convert to fraction form
    414,843.87/572,503.92 = 251,505.47/x
  3. Step 3: Cross multiply
    414,843.87x = 572,503.92 × 251,505.47
  4. Step 4: Simplify right side
    414,843.87x = 143,987,865,817.67
  5. Step 5: Solve for x
    x = 143,987,865,817.67/414,843.87
  6. Step 6: Final answer
    x = 347,089.29

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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.