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Finding the Fourth Proportional to 417,627.50, 576,326.36 and 226,640.94

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Solution

The fourth proportional to 417,627.50, 576,326.36 and 226,640.94 is: 312,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,627.50 : 576,326.36 = 226,640.94 : x
  2. Step 2: Convert to fraction form
    417,627.50/576,326.36 = 226,640.94/x
  3. Step 3: Cross multiply
    417,627.50x = 576,326.36 × 226,640.94
  4. Step 4: Simplify right side
    417,627.50x = 130,619,147,977.18
  5. Step 5: Solve for x
    x = 130,619,147,977.18/417,627.50
  6. Step 6: Final answer
    x = 312,764.72

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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.