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Finding the Fourth Proportional to 384,401.80, 575,727.90 and 197,194.60

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Solution

The fourth proportional to 384,401.80, 575,727.90 and 197,194.60 is: 295,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,401.80 : 575,727.90 = 197,194.60 : x
  2. Step 2: Convert to fraction form
    384,401.80/575,727.90 = 197,194.60/x
  3. Step 3: Cross multiply
    384,401.80x = 575,727.90 × 197,194.60
  4. Step 4: Simplify right side
    384,401.80x = 113,530,432,949.34
  5. Step 5: Solve for x
    x = 113,530,432,949.34/384,401.80
  6. Step 6: Final answer
    x = 295,343.14

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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.