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Finding the Fourth Proportional to 227,525.80, 341,944.80 and 198,657.40

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Solution

The fourth proportional to 227,525.80, 341,944.80 and 198,657.40 is: 298,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,525.80 : 341,944.80 = 198,657.40 : x
  2. Step 2: Convert to fraction form
    227,525.80/341,944.80 = 198,657.40/x
  3. Step 3: Cross multiply
    227,525.80x = 341,944.80 × 198,657.40
  4. Step 4: Simplify right side
    227,525.80x = 67,929,864,911.52
  5. Step 5: Solve for x
    x = 67,929,864,911.52/227,525.80
  6. Step 6: Final answer
    x = 298,558.95

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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.