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Finding the Fourth Proportional to 403,514.40, 603,716.40 and 263,546.40

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Solution

The fourth proportional to 403,514.40, 603,716.40 and 263,546.40 is: 394,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,514.40 : 603,716.40 = 263,546.40 : x
  2. Step 2: Convert to fraction form
    403,514.40/603,716.40 = 263,546.40/x
  3. Step 3: Cross multiply
    403,514.40x = 603,716.40 × 263,546.40
  4. Step 4: Simplify right side
    403,514.40x = 159,107,283,840.96
  5. Step 5: Solve for x
    x = 159,107,283,840.96/403,514.40
  6. Step 6: Final answer
    x = 394,303.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.