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Finding the Fourth Proportional to 547,201.81, 755,145.97 and 302,203.09

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Solution

The fourth proportional to 547,201.81, 755,145.97 and 302,203.09 is: 417,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,201.81 : 755,145.97 = 302,203.09 : x
  2. Step 2: Convert to fraction form
    547,201.81/755,145.97 = 302,203.09/x
  3. Step 3: Cross multiply
    547,201.81x = 755,145.97 × 302,203.09
  4. Step 4: Simplify right side
    547,201.81x = 228,207,446,440.54
  5. Step 5: Solve for x
    x = 228,207,446,440.54/547,201.81
  6. Step 6: Final answer
    x = 417,044.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.