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Finding the Fourth Proportional to 322,741.64, 483,606.48 and 204,162.50

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Solution

The fourth proportional to 322,741.64, 483,606.48 and 204,162.50 is: 305,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,741.64 : 483,606.48 = 204,162.50 : x
  2. Step 2: Convert to fraction form
    322,741.64/483,606.48 = 204,162.50/x
  3. Step 3: Cross multiply
    322,741.64x = 483,606.48 × 204,162.50
  4. Step 4: Simplify right side
    322,741.64x = 98,734,307,973
  5. Step 5: Solve for x
    x = 98,734,307,973/322,741.64
  6. Step 6: Final answer
    x = 305,923.67

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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.