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Finding the Fourth Proportional to 374,858.86, 517,318.13 and 205,092.98

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Solution

The fourth proportional to 374,858.86, 517,318.13 and 205,092.98 is: 283,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,858.86 : 517,318.13 = 205,092.98 : x
  2. Step 2: Convert to fraction form
    374,858.86/517,318.13 = 205,092.98/x
  3. Step 3: Cross multiply
    374,858.86x = 517,318.13 × 205,092.98
  4. Step 4: Simplify right side
    374,858.86x = 106,098,316,889.73
  5. Step 5: Solve for x
    x = 106,098,316,889.73/374,858.86
  6. Step 6: Final answer
    x = 283,035.37

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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.