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Finding the Fourth Proportional to 647,633.60, 971,277.60 and 226,865.60

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Solution

The fourth proportional to 647,633.60, 971,277.60 and 226,865.60 is: 340,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,633.60 : 971,277.60 = 226,865.60 : x
  2. Step 2: Convert to fraction form
    647,633.60/971,277.60 = 226,865.60/x
  3. Step 3: Cross multiply
    647,633.60x = 971,277.60 × 226,865.60
  4. Step 4: Simplify right side
    647,633.60x = 220,349,475,490.56
  5. Step 5: Solve for x
    x = 220,349,475,490.56/647,633.60
  6. Step 6: Final answer
    x = 340,237.87

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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.