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Finding the Fourth Proportional to 700,316.20, 966,396.72 and 413,862.94

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Solution

The fourth proportional to 700,316.20, 966,396.72 and 413,862.94 is: 571,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,316.20 : 966,396.72 = 413,862.94 : x
  2. Step 2: Convert to fraction form
    700,316.20/966,396.72 = 413,862.94/x
  3. Step 3: Cross multiply
    700,316.20x = 966,396.72 × 413,862.94
  4. Step 4: Simplify right side
    700,316.20x = 399,955,787,745.56
  5. Step 5: Solve for x
    x = 399,955,787,745.56/700,316.20
  6. Step 6: Final answer
    x = 571,107.43

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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.