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Finding the Fourth Proportional to 302,092.40, 452,620.20 and 196,857.20

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Solution

The fourth proportional to 302,092.40, 452,620.20 and 196,857.20 is: 294,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,092.40 : 452,620.20 = 196,857.20 : x
  2. Step 2: Convert to fraction form
    302,092.40/452,620.20 = 196,857.20/x
  3. Step 3: Cross multiply
    302,092.40x = 452,620.20 × 196,857.20
  4. Step 4: Simplify right side
    302,092.40x = 89,101,545,235.44
  5. Step 5: Solve for x
    x = 89,101,545,235.44/302,092.40
  6. Step 6: Final answer
    x = 294,947.99

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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.