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Finding the Fourth Proportional to 417,268.40, 575,825.36 and 226,279.58

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Solution

The fourth proportional to 417,268.40, 575,825.36 and 226,279.58 is: 312,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,268.40 : 575,825.36 = 226,279.58 : x
  2. Step 2: Convert to fraction form
    417,268.40/575,825.36 = 226,279.58/x
  3. Step 3: Cross multiply
    417,268.40x = 575,825.36 × 226,279.58
  4. Step 4: Simplify right side
    417,268.40x = 130,297,516,603.62
  5. Step 5: Solve for x
    x = 130,297,516,603.62/417,268.40
  6. Step 6: Final answer
    x = 312,263.09

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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.