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Finding the Fourth Proportional to 417,762.09, 576,512.42 and 226,775.61

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Solution

The fourth proportional to 417,762.09, 576,512.42 and 226,775.61 is: 312,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,762.09 : 576,512.42 = 226,775.61 : x
  2. Step 2: Convert to fraction form
    417,762.09/576,512.42 = 226,775.61/x
  3. Step 3: Cross multiply
    417,762.09x = 576,512.42 × 226,775.61
  4. Step 4: Simplify right side
    417,762.09x = 130,738,954,584.20
  5. Step 5: Solve for x
    x = 130,738,954,584.20/417,762.09
  6. Step 6: Final answer
    x = 312,950.74

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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.