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Finding the Fourth Proportional to 403,314.40, 604,971.60 and 263,231.20

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Solution

The fourth proportional to 403,314.40, 604,971.60 and 263,231.20 is: 394,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,314.40 : 604,971.60 = 263,231.20 : x
  2. Step 2: Convert to fraction form
    403,314.40/604,971.60 = 263,231.20/x
  3. Step 3: Cross multiply
    403,314.40x = 604,971.60 × 263,231.20
  4. Step 4: Simplify right side
    403,314.40x = 159,247,400,233.92
  5. Step 5: Solve for x
    x = 159,247,400,233.92/403,314.40
  6. Step 6: Final answer
    x = 394,846.80

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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.