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Finding the Fourth Proportional to 382,258.92, 573,483.42 and 132,943.08

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Solution

The fourth proportional to 382,258.92, 573,483.42 and 132,943.08 is: 199,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,258.92 : 573,483.42 = 132,943.08 : x
  2. Step 2: Convert to fraction form
    382,258.92/573,483.42 = 132,943.08/x
  3. Step 3: Cross multiply
    382,258.92x = 573,483.42 × 132,943.08
  4. Step 4: Simplify right side
    382,258.92x = 76,240,652,183.73
  5. Step 5: Solve for x
    x = 76,240,652,183.73/382,258.92
  6. Step 6: Final answer
    x = 199,447.67

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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.