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Finding the Fourth Proportional to 417,273.41, 575,832.24 and 226,284.59

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Solution

The fourth proportional to 417,273.41, 575,832.24 and 226,284.59 is: 312,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,273.41 : 575,832.24 = 226,284.59 : x
  2. Step 2: Convert to fraction form
    417,273.41/575,832.24 = 226,284.59/x
  3. Step 3: Cross multiply
    417,273.41x = 575,832.24 × 226,284.59
  4. Step 4: Simplify right side
    417,273.41x = 130,301,962,337.18
  5. Step 5: Solve for x
    x = 130,301,962,337.18/417,273.41
  6. Step 6: Final answer
    x = 312,269.99

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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.