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Finding the Fourth Proportional to 277,202.70, 415,026.45 and 269,426.70

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Solution

The fourth proportional to 277,202.70, 415,026.45 and 269,426.70 is: 403,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,202.70 : 415,026.45 = 269,426.70 : x
  2. Step 2: Convert to fraction form
    277,202.70/415,026.45 = 269,426.70/x
  3. Step 3: Cross multiply
    277,202.70x = 415,026.45 × 269,426.70
  4. Step 4: Simplify right side
    277,202.70x = 111,819,206,836.22
  5. Step 5: Solve for x
    x = 111,819,206,836.22/277,202.70
  6. Step 6: Final answer
    x = 403,384.26

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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.