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Finding the Fourth Proportional to 420,566.40, 580,395.24 and 239,273.82

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Solution

The fourth proportional to 420,566.40, 580,395.24 and 239,273.82 is: 330,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,566.40 : 580,395.24 = 239,273.82 : x
  2. Step 2: Convert to fraction form
    420,566.40/580,395.24 = 239,273.82/x
  3. Step 3: Cross multiply
    420,566.40x = 580,395.24 × 239,273.82
  4. Step 4: Simplify right side
    420,566.40x = 138,873,386,184.62
  5. Step 5: Solve for x
    x = 138,873,386,184.62/420,566.40
  6. Step 6: Final answer
    x = 330,205.61

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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.