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Finding the Fourth Proportional to 301,858.96, 451,617.72 and 217,812.64

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Solution

The fourth proportional to 301,858.96, 451,617.72 and 217,812.64 is: 325,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,858.96 : 451,617.72 = 217,812.64 : x
  2. Step 2: Convert to fraction form
    301,858.96/451,617.72 = 217,812.64/x
  3. Step 3: Cross multiply
    301,858.96x = 451,617.72 × 217,812.64
  4. Step 4: Simplify right side
    301,858.96x = 98,368,047,863.98
  5. Step 5: Solve for x
    x = 98,368,047,863.98/301,858.96
  6. Step 6: Final answer
    x = 325,874.20

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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.