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Finding the Fourth Proportional to 647,597.37, 971,397.88 and 226,774.83

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Solution

The fourth proportional to 647,597.37, 971,397.88 and 226,774.83 is: 340,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,597.37 : 971,397.88 = 226,774.83 : x
  2. Step 2: Convert to fraction form
    647,597.37/971,397.88 = 226,774.83/x
  3. Step 3: Cross multiply
    647,597.37x = 971,397.88 × 226,774.83
  4. Step 4: Simplify right side
    647,597.37x = 220,288,588,532.42
  5. Step 5: Solve for x
    x = 220,288,588,532.42/647,597.37
  6. Step 6: Final answer
    x = 340,162.88

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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.