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Finding the Fourth Proportional to 705,716.96, 973,857.66 and 399,787.09

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Solution

The fourth proportional to 705,716.96, 973,857.66 and 399,787.09 is: 551,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,716.96 : 973,857.66 = 399,787.09 : x
  2. Step 2: Convert to fraction form
    705,716.96/973,857.66 = 399,787.09/x
  3. Step 3: Cross multiply
    705,716.96x = 973,857.66 × 399,787.09
  4. Step 4: Simplify right side
    705,716.96x = 389,335,722,634.11
  5. Step 5: Solve for x
    x = 389,335,722,634.11/705,716.96
  6. Step 6: Final answer
    x = 551,688.21

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Double scale
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1.5x scale

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.