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Finding the Fourth Proportional to 314,443.24, 434,077.92 and 185,341

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Solution

The fourth proportional to 314,443.24, 434,077.92 and 185,341 is: 255,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,443.24 : 434,077.92 = 185,341 : x
  2. Step 2: Convert to fraction form
    314,443.24/434,077.92 = 185,341/x
  3. Step 3: Cross multiply
    314,443.24x = 434,077.92 × 185,341
  4. Step 4: Simplify right side
    314,443.24x = 80,452,435,770.72
  5. Step 5: Solve for x
    x = 80,452,435,770.72/314,443.24
  6. Step 6: Final answer
    x = 255,856.78

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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.