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Finding the Fourth Proportional to 417,898.09, 576,701.54 and 226,911.43

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Solution

The fourth proportional to 417,898.09, 576,701.54 and 226,911.43 is: 313,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,898.09 : 576,701.54 = 226,911.43 : x
  2. Step 2: Convert to fraction form
    417,898.09/576,701.54 = 226,911.43/x
  3. Step 3: Cross multiply
    417,898.09x = 576,701.54 × 226,911.43
  4. Step 4: Simplify right side
    417,898.09x = 130,860,171,124.60
  5. Step 5: Solve for x
    x = 130,860,171,124.60/417,898.09
  6. Step 6: Final answer
    x = 313,138.95

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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.