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Finding the Fourth Proportional to 417,150.86, 575,669.43 and 226,164.33

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Solution

The fourth proportional to 417,150.86, 575,669.43 and 226,164.33 is: 312,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,150.86 : 575,669.43 = 226,164.33 : x
  2. Step 2: Convert to fraction form
    417,150.86/575,669.43 = 226,164.33/x
  3. Step 3: Cross multiply
    417,150.86x = 575,669.43 × 226,164.33
  4. Step 4: Simplify right side
    417,150.86x = 130,195,890,937.43
  5. Step 5: Solve for x
    x = 130,195,890,937.43/417,150.86
  6. Step 6: Final answer
    x = 312,107.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.