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Finding the Fourth Proportional to 417,604.60, 576,295.86 and 226,617.94

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Solution

The fourth proportional to 417,604.60, 576,295.86 and 226,617.94 is: 312,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,604.60 : 576,295.86 = 226,617.94 : x
  2. Step 2: Convert to fraction form
    417,604.60/576,295.86 = 226,617.94/x
  3. Step 3: Cross multiply
    417,604.60x = 576,295.86 × 226,617.94
  4. Step 4: Simplify right side
    417,604.60x = 130,598,979,182.99
  5. Step 5: Solve for x
    x = 130,598,979,182.99/417,604.60
  6. Step 6: Final answer
    x = 312,733.58

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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.