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Finding the Fourth Proportional to 705,883.41, 974,067.93 and 399,965.85

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Solution

The fourth proportional to 705,883.41, 974,067.93 and 399,965.85 is: 551,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,883.41 : 974,067.93 = 399,965.85 : x
  2. Step 2: Convert to fraction form
    705,883.41/974,067.93 = 399,965.85/x
  3. Step 3: Cross multiply
    705,883.41x = 974,067.93 × 399,965.85
  4. Step 4: Simplify right side
    705,883.41x = 389,593,907,580.19
  5. Step 5: Solve for x
    x = 389,593,907,580.19/705,883.41
  6. Step 6: Final answer
    x = 551,923.88

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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.