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Finding the Fourth Proportional to 493,611.60, 741,292.20 and 381,564.30

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Solution

The fourth proportional to 493,611.60, 741,292.20 and 381,564.30 is: 573,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,611.60 : 741,292.20 = 381,564.30 : x
  2. Step 2: Convert to fraction form
    493,611.60/741,292.20 = 381,564.30/x
  3. Step 3: Cross multiply
    493,611.60x = 741,292.20 × 381,564.30
  4. Step 4: Simplify right side
    493,611.60x = 282,850,639,388.46
  5. Step 5: Solve for x
    x = 282,850,639,388.46/493,611.60
  6. Step 6: Final answer
    x = 573,022.67

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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.