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Finding the Fourth Proportional to 647,746.60, 971,447.10 and 226,978.60

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Solution

The fourth proportional to 647,746.60, 971,447.10 and 226,978.60 is: 340,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,746.60 : 971,447.10 = 226,978.60 : x
  2. Step 2: Convert to fraction form
    647,746.60/971,447.10 = 226,978.60/x
  3. Step 3: Cross multiply
    647,746.60x = 971,447.10 × 226,978.60
  4. Step 4: Simplify right side
    647,746.60x = 220,497,702,732.06
  5. Step 5: Solve for x
    x = 220,497,702,732.06/647,746.60
  6. Step 6: Final answer
    x = 340,407.35

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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.