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Finding the Fourth Proportional to 384,220.20, 576,330.30 and 197,596.20

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Solution

The fourth proportional to 384,220.20, 576,330.30 and 197,596.20 is: 296,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220.20 : 576,330.30 = 197,596.20 : x
  2. Step 2: Convert to fraction form
    384,220.20/576,330.30 = 197,596.20/x
  3. Step 3: Cross multiply
    384,220.20x = 576,330.30 × 197,596.20
  4. Step 4: Simplify right side
    384,220.20x = 113,880,677,224.86
  5. Step 5: Solve for x
    x = 113,880,677,224.86/384,220.20
  6. Step 6: Final answer
    x = 296,394.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.