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Finding the Fourth Proportional to 227,529.80, 341,950.80 and 198,661.40

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Solution

The fourth proportional to 227,529.80, 341,950.80 and 198,661.40 is: 298,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,529.80 : 341,950.80 = 198,661.40 : x
  2. Step 2: Convert to fraction form
    227,529.80/341,950.80 = 198,661.40/x
  3. Step 3: Cross multiply
    227,529.80x = 341,950.80 × 198,661.40
  4. Step 4: Simplify right side
    227,529.80x = 67,932,424,659.12
  5. Step 5: Solve for x
    x = 67,932,424,659.12/227,529.80
  6. Step 6: Final answer
    x = 298,564.96

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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.