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Finding the Fourth Proportional to 705,834.44, 973,972.46 and 399,845.30

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Solution

The fourth proportional to 705,834.44, 973,972.46 and 399,845.30 is: 551,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,834.44 : 973,972.46 = 399,845.30 : x
  2. Step 2: Convert to fraction form
    705,834.44/973,972.46 = 399,845.30/x
  3. Step 3: Cross multiply
    705,834.44x = 973,972.46 × 399,845.30
  4. Step 4: Simplify right side
    705,834.44x = 389,438,303,591.35
  5. Step 5: Solve for x
    x = 389,438,303,591.35/705,834.44
  6. Step 6: Final answer
    x = 551,741.72

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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.