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Finding the Fourth Proportional to 417,249.83, 575,799.74 and 226,260.95

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Solution

The fourth proportional to 417,249.83, 575,799.74 and 226,260.95 is: 312,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,249.83 : 575,799.74 = 226,260.95 : x
  2. Step 2: Convert to fraction form
    417,249.83/575,799.74 = 226,260.95/x
  3. Step 3: Cross multiply
    417,249.83x = 575,799.74 × 226,260.95
  4. Step 4: Simplify right side
    417,249.83x = 130,280,993,020.33
  5. Step 5: Solve for x
    x = 130,280,993,020.33/417,249.83
  6. Step 6: Final answer
    x = 312,237.38

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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.