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Finding the Fourth Proportional to 442,049.46, 658,907.03 and 419,610.84

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Solution

The fourth proportional to 442,049.46, 658,907.03 and 419,610.84 is: 625,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,049.46 : 658,907.03 = 419,610.84 : x
  2. Step 2: Convert to fraction form
    442,049.46/658,907.03 = 419,610.84/x
  3. Step 3: Cross multiply
    442,049.46x = 658,907.03 × 419,610.84
  4. Step 4: Simplify right side
    442,049.46x = 276,484,530,242.15
  5. Step 5: Solve for x
    x = 276,484,530,242.15/442,049.46
  6. Step 6: Final answer
    x = 625,460.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.