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Finding the Fourth Proportional to 700,318.45, 966,399.82 and 413,865.19

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Solution

The fourth proportional to 700,318.45, 966,399.82 and 413,865.19 is: 571,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,318.45 : 966,399.82 = 413,865.19 : x
  2. Step 2: Convert to fraction form
    700,318.45/966,399.82 = 413,865.19/x
  3. Step 3: Cross multiply
    700,318.45x = 966,399.82 × 413,865.19
  4. Step 4: Simplify right side
    700,318.45x = 399,959,245,120.27
  5. Step 5: Solve for x
    x = 399,959,245,120.27/700,318.45
  6. Step 6: Final answer
    x = 571,110.54

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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.