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Finding the Fourth Proportional to 620,200.46, 929,710.17 and 199,181.09

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Solution

The fourth proportional to 620,200.46, 929,710.17 and 199,181.09 is: 298,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,200.46 : 929,710.17 = 199,181.09 : x
  2. Step 2: Convert to fraction form
    620,200.46/929,710.17 = 199,181.09/x
  3. Step 3: Cross multiply
    620,200.46x = 929,710.17 × 199,181.09
  4. Step 4: Simplify right side
    620,200.46x = 185,180,680,396.13
  5. Step 5: Solve for x
    x = 185,180,680,396.13/620,200.46
  6. Step 6: Final answer
    x = 298,581.98

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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.