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Finding the Fourth Proportional to 306,032.40, 422,255.52 and 185,170.68

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Solution

The fourth proportional to 306,032.40, 422,255.52 and 185,170.68 is: 255,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.40 : 422,255.52 = 185,170.68 : x
  2. Step 2: Convert to fraction form
    306,032.40/422,255.52 = 185,170.68/x
  3. Step 3: Cross multiply
    306,032.40x = 422,255.52 × 185,170.68
  4. Step 4: Simplify right side
    306,032.40x = 78,189,341,772.15
  5. Step 5: Solve for x
    x = 78,189,341,772.15/306,032.40
  6. Step 6: Final answer
    x = 255,493.67

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