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Finding the Fourth Proportional to 277,214.20, 415,043.70 and 269,438.20

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Solution

The fourth proportional to 277,214.20, 415,043.70 and 269,438.20 is: 403,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,214.20 : 415,043.70 = 269,438.20 : x
  2. Step 2: Convert to fraction form
    277,214.20/415,043.70 = 269,438.20/x
  3. Step 3: Cross multiply
    277,214.20x = 415,043.70 × 269,438.20
  4. Step 4: Simplify right side
    277,214.20x = 111,828,627,449.34
  5. Step 5: Solve for x
    x = 111,828,627,449.34/277,214.20
  6. Step 6: Final answer
    x = 403,401.51

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