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Finding the Fourth Proportional to 374,859.87, 517,319.52 and 205,093.98

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Solution

The fourth proportional to 374,859.87, 517,319.52 and 205,093.98 is: 283,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,859.87 : 517,319.52 = 205,093.98 : x
  2. Step 2: Convert to fraction form
    374,859.87/517,319.52 = 205,093.98/x
  3. Step 3: Cross multiply
    374,859.87x = 517,319.52 × 205,093.98
  4. Step 4: Simplify right side
    374,859.87x = 106,099,119,288.49
  5. Step 5: Solve for x
    x = 106,099,119,288.49/374,859.87
  6. Step 6: Final answer
    x = 283,036.75

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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.