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Finding the Fourth Proportional to 331,314.40, 496,971.60 and 278,826.40

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Solution

The fourth proportional to 331,314.40, 496,971.60 and 278,826.40 is: 418,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314.40 : 496,971.60 = 278,826.40 : x
  2. Step 2: Convert to fraction form
    331,314.40/496,971.60 = 278,826.40/x
  3. Step 3: Cross multiply
    331,314.40x = 496,971.60 × 278,826.40
  4. Step 4: Simplify right side
    331,314.40x = 138,568,802,130.24
  5. Step 5: Solve for x
    x = 138,568,802,130.24/331,314.40
  6. Step 6: Final answer
    x = 418,239.60

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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.