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Finding the Fourth Proportional to 381,378.96, 526,301.28 and 211,612.68

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Solution

The fourth proportional to 381,378.96, 526,301.28 and 211,612.68 is: 292,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,378.96 : 526,301.28 = 211,612.68 : x
  2. Step 2: Convert to fraction form
    381,378.96/526,301.28 = 211,612.68/x
  3. Step 3: Cross multiply
    381,378.96x = 526,301.28 × 211,612.68
  4. Step 4: Simplify right side
    381,378.96x = 111,372,024,348.23
  5. Step 5: Solve for x
    x = 111,372,024,348.23/381,378.96
  6. Step 6: Final answer
    x = 292,024.56

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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.