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Finding the Fourth Proportional to 339,694.40, 508,927.20 and 277,025.60

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Solution

The fourth proportional to 339,694.40, 508,927.20 and 277,025.60 is: 415,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,694.40 : 508,927.20 = 277,025.60 : x
  2. Step 2: Convert to fraction form
    339,694.40/508,927.20 = 277,025.60/x
  3. Step 3: Cross multiply
    339,694.40x = 508,927.20 × 277,025.60
  4. Step 4: Simplify right side
    339,694.40x = 140,985,862,936.32
  5. Step 5: Solve for x
    x = 140,985,862,936.32/339,694.40
  6. Step 6: Final answer
    x = 415,037.35

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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.