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Finding the Fourth Proportional to 277,351.70, 414,021.17 and 243,721.51

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Solution

The fourth proportional to 277,351.70, 414,021.17 and 243,721.51 is: 363,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,351.70 : 414,021.17 = 243,721.51 : x
  2. Step 2: Convert to fraction form
    277,351.70/414,021.17 = 243,721.51/x
  3. Step 3: Cross multiply
    277,351.70x = 414,021.17 × 243,721.51
  4. Step 4: Simplify right side
    277,351.70x = 100,905,864,298.62
  5. Step 5: Solve for x
    x = 100,905,864,298.62/277,351.70
  6. Step 6: Final answer
    x = 363,819.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.