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Finding the Fourth Proportional to 231,665.60, 347,498.40 and 228,166.40

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Solution

The fourth proportional to 231,665.60, 347,498.40 and 228,166.40 is: 342,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,665.60 : 347,498.40 = 228,166.40 : x
  2. Step 2: Convert to fraction form
    231,665.60/347,498.40 = 228,166.40/x
  3. Step 3: Cross multiply
    231,665.60x = 347,498.40 × 228,166.40
  4. Step 4: Simplify right side
    231,665.60x = 79,287,458,933.76
  5. Step 5: Solve for x
    x = 79,287,458,933.76/231,665.60
  6. Step 6: Final answer
    x = 342,249.60

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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.