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Finding the Fourth Proportional to 421,409.10, 631,230.45 and 196,961.10

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Solution

The fourth proportional to 421,409.10, 631,230.45 and 196,961.10 is: 295,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,409.10 : 631,230.45 = 196,961.10 : x
  2. Step 2: Convert to fraction form
    421,409.10/631,230.45 = 196,961.10/x
  3. Step 3: Cross multiply
    421,409.10x = 631,230.45 × 196,961.10
  4. Step 4: Simplify right side
    421,409.10x = 124,327,843,785.50
  5. Step 5: Solve for x
    x = 124,327,843,785.50/421,409.10
  6. Step 6: Final answer
    x = 295,028.85

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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.