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Finding the Fourth Proportional to 290,102.64, 400,239 and 189,558.96

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Solution

The fourth proportional to 290,102.64, 400,239 and 189,558.96 is: 261,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,102.64 : 400,239 = 189,558.96 : x
  2. Step 2: Convert to fraction form
    290,102.64/400,239 = 189,558.96/x
  3. Step 3: Cross multiply
    290,102.64x = 400,239 × 189,558.96
  4. Step 4: Simplify right side
    290,102.64x = 75,868,888,591.44
  5. Step 5: Solve for x
    x = 75,868,888,591.44/290,102.64
  6. Step 6: Final answer
    x = 261,524.30

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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.