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Finding the Fourth Proportional to 340,096.24, 469,333.26 and 189,193.24

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Solution

The fourth proportional to 340,096.24, 469,333.26 and 189,193.24 is: 261,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,096.24 : 469,333.26 = 189,193.24 : x
  2. Step 2: Convert to fraction form
    340,096.24/469,333.26 = 189,193.24/x
  3. Step 3: Cross multiply
    340,096.24x = 469,333.26 × 189,193.24
  4. Step 4: Simplify right side
    340,096.24x = 88,794,680,099.16
  5. Step 5: Solve for x
    x = 88,794,680,099.16/340,096.24
  6. Step 6: Final answer
    x = 261,086.92

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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.