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Finding the Fourth Proportional to 417,028.24, 575,576.04 and 238,180.24

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Solution

The fourth proportional to 417,028.24, 575,576.04 and 238,180.24 is: 328,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,028.24 : 575,576.04 = 238,180.24 : x
  2. Step 2: Convert to fraction form
    417,028.24/575,576.04 = 238,180.24/x
  3. Step 3: Cross multiply
    417,028.24x = 575,576.04 × 238,180.24
  4. Step 4: Simplify right side
    417,028.24x = 137,090,839,345.45
  5. Step 5: Solve for x
    x = 137,090,839,345.45/417,028.24
  6. Step 6: Final answer
    x = 328,732.75

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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.