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Finding the Fourth Proportional to 647,711.60, 971,567.40 and 226,932.80

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Solution

The fourth proportional to 647,711.60, 971,567.40 and 226,932.80 is: 340,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,711.60 : 971,567.40 = 226,932.80 : x
  2. Step 2: Convert to fraction form
    647,711.60/971,567.40 = 226,932.80/x
  3. Step 3: Cross multiply
    647,711.60x = 971,567.40 × 226,932.80
  4. Step 4: Simplify right side
    647,711.60x = 220,480,510,470.72
  5. Step 5: Solve for x
    x = 220,480,510,470.72/647,711.60
  6. Step 6: Final answer
    x = 340,399.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.