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Finding the Fourth Proportional to 705,696.53, 973,863.58 and 399,829.54

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Solution

The fourth proportional to 705,696.53, 973,863.58 and 399,829.54 is: 551,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,696.53 : 973,863.58 = 399,829.54 : x
  2. Step 2: Convert to fraction form
    705,696.53/973,863.58 = 399,829.54/x
  3. Step 3: Cross multiply
    705,696.53x = 973,863.58 × 399,829.54
  4. Step 4: Simplify right side
    705,696.53x = 389,379,430,219.11
  5. Step 5: Solve for x
    x = 389,379,430,219.11/705,696.53
  6. Step 6: Final answer
    x = 551,766.11

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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.