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Finding the Fourth Proportional to 400,314.10, 596,441.36 and 394,540.42

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Solution

The fourth proportional to 400,314.10, 596,441.36 and 394,540.42 is: 587,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,314.10 : 596,441.36 = 394,540.42 : x
  2. Step 2: Convert to fraction form
    400,314.10/596,441.36 = 394,540.42/x
  3. Step 3: Cross multiply
    400,314.10x = 596,441.36 × 394,540.42
  4. Step 4: Simplify right side
    400,314.10x = 235,320,224,679.77
  5. Step 5: Solve for x
    x = 235,320,224,679.77/400,314.10
  6. Step 6: Final answer
    x = 587,838.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.