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Finding the Fourth Proportional to 234,870.32, 324,361.32 and 219,823.76

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Solution

The fourth proportional to 234,870.32, 324,361.32 and 219,823.76 is: 303,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,870.32 : 324,361.32 = 219,823.76 : x
  2. Step 2: Convert to fraction form
    234,870.32/324,361.32 = 219,823.76/x
  3. Step 3: Cross multiply
    234,870.32x = 324,361.32 × 219,823.76
  4. Step 4: Simplify right side
    234,870.32x = 71,302,324,960.96
  5. Step 5: Solve for x
    x = 71,302,324,960.96/234,870.32
  6. Step 6: Final answer
    x = 303,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.