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Finding the Fourth Proportional to 417,171.36, 575,691.12 and 226,184.16

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Solution

The fourth proportional to 417,171.36, 575,691.12 and 226,184.16 is: 312,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,171.36 : 575,691.12 = 226,184.16 : x
  2. Step 2: Convert to fraction form
    417,171.36/575,691.12 = 226,184.16/x
  3. Step 3: Cross multiply
    417,171.36x = 575,691.12 × 226,184.16
  4. Step 4: Simplify right side
    417,171.36x = 130,212,212,396.66
  5. Step 5: Solve for x
    x = 130,212,212,396.66/417,171.36
  6. Step 6: Final answer
    x = 312,131.24

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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.