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Finding the Fourth Proportional to 302,098.40, 452,629.20 and 196,863.20

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Solution

The fourth proportional to 302,098.40, 452,629.20 and 196,863.20 is: 294,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,098.40 : 452,629.20 = 196,863.20 : x
  2. Step 2: Convert to fraction form
    302,098.40/452,629.20 = 196,863.20/x
  3. Step 3: Cross multiply
    302,098.40x = 452,629.20 × 196,863.20
  4. Step 4: Simplify right side
    302,098.40x = 89,106,032,725.44
  5. Step 5: Solve for x
    x = 89,106,032,725.44/302,098.40
  6. Step 6: Final answer
    x = 294,956.98

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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.