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Finding the Fourth Proportional to 389,937.60, 584,906.40 and 364,276.80

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Solution

The fourth proportional to 389,937.60, 584,906.40 and 364,276.80 is: 546,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,937.60 : 584,906.40 = 364,276.80 : x
  2. Step 2: Convert to fraction form
    389,937.60/584,906.40 = 364,276.80/x
  3. Step 3: Cross multiply
    389,937.60x = 584,906.40 × 364,276.80
  4. Step 4: Simplify right side
    389,937.60x = 213,067,831,691.52
  5. Step 5: Solve for x
    x = 213,067,831,691.52/389,937.60
  6. Step 6: Final answer
    x = 546,415.20

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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.