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Finding the Fourth Proportional to 519,685.75, 717,166.38 and 293,345.83

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Solution

The fourth proportional to 519,685.75, 717,166.38 and 293,345.83 is: 404,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,685.75 : 717,166.38 = 293,345.83 : x
  2. Step 2: Convert to fraction form
    519,685.75/717,166.38 = 293,345.83/x
  3. Step 3: Cross multiply
    519,685.75x = 717,166.38 × 293,345.83
  4. Step 4: Simplify right side
    519,685.75x = 210,377,766,989.20
  5. Step 5: Solve for x
    x = 210,377,766,989.20/519,685.75
  6. Step 6: Final answer
    x = 404,817.27

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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.