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Finding the Fourth Proportional to 298,601, 447,947.58 and 111,639.08

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Solution

The fourth proportional to 298,601, 447,947.58 and 111,639.08 is: 167,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,601 : 447,947.58 = 111,639.08 : x
  2. Step 2: Convert to fraction form
    298,601/447,947.58 = 111,639.08/x
  3. Step 3: Cross multiply
    298,601x = 447,947.58 × 111,639.08
  4. Step 4: Simplify right side
    298,601x = 50,008,455,719.43
  5. Step 5: Solve for x
    x = 50,008,455,719.43/298,601
  6. Step 6: Final answer
    x = 167,475.85

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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.