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Finding the Fourth Proportional to 492,298.20, 738,447.30 and 413,566.20

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Solution

The fourth proportional to 492,298.20, 738,447.30 and 413,566.20 is: 620,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,298.20 : 738,447.30 = 413,566.20 : x
  2. Step 2: Convert to fraction form
    492,298.20/738,447.30 = 413,566.20/x
  3. Step 3: Cross multiply
    492,298.20x = 738,447.30 × 413,566.20
  4. Step 4: Simplify right side
    492,298.20x = 305,396,843,761.26
  5. Step 5: Solve for x
    x = 305,396,843,761.26/492,298.20
  6. Step 6: Final answer
    x = 620,349.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.