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Finding the Fourth Proportional to 361,100.96, 498,234.48 and 215,954.24

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Solution

The fourth proportional to 361,100.96, 498,234.48 and 215,954.24 is: 297,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,100.96 : 498,234.48 = 215,954.24 : x
  2. Step 2: Convert to fraction form
    361,100.96/498,234.48 = 215,954.24/x
  3. Step 3: Cross multiply
    361,100.96x = 498,234.48 × 215,954.24
  4. Step 4: Simplify right side
    361,100.96x = 107,595,848,470.20
  5. Step 5: Solve for x
    x = 107,595,848,470.20/361,100.96
  6. Step 6: Final answer
    x = 297,966.11

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1.5x scale

Why These Related Problems?

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