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Finding the Fourth Proportional to 363,178.80, 544,768.20 and 221,461.20

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Solution

The fourth proportional to 363,178.80, 544,768.20 and 221,461.20 is: 332,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,178.80 : 544,768.20 = 221,461.20 : x
  2. Step 2: Convert to fraction form
    363,178.80/544,768.20 = 221,461.20/x
  3. Step 3: Cross multiply
    363,178.80x = 544,768.20 × 221,461.20
  4. Step 4: Simplify right side
    363,178.80x = 120,645,019,293.84
  5. Step 5: Solve for x
    x = 120,645,019,293.84/363,178.80
  6. Step 6: Final answer
    x = 332,191.80

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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.