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Finding the Fourth Proportional to 228,932.80, 342,427.20 and 205,410.40

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Solution

The fourth proportional to 228,932.80, 342,427.20 and 205,410.40 is: 307,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,932.80 : 342,427.20 = 205,410.40 : x
  2. Step 2: Convert to fraction form
    228,932.80/342,427.20 = 205,410.40/x
  3. Step 3: Cross multiply
    228,932.80x = 342,427.20 × 205,410.40
  4. Step 4: Simplify right side
    228,932.80x = 70,338,108,122.88
  5. Step 5: Solve for x
    x = 70,338,108,122.88/228,932.80
  6. Step 6: Final answer
    x = 307,243.47

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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.