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Finding the Fourth Proportional to 733,843.46, 1,012,712.46 and 407,162.62

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Solution

The fourth proportional to 733,843.46, 1,012,712.46 and 407,162.62 is: 561,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,843.46 : 1,012,712.46 = 407,162.62 : x
  2. Step 2: Convert to fraction form
    733,843.46/1,012,712.46 = 407,162.62/x
  3. Step 3: Cross multiply
    733,843.46x = 1,012,712.46 × 407,162.62
  4. Step 4: Simplify right side
    733,843.46x = 412,338,658,520.25
  5. Step 5: Solve for x
    x = 412,338,658,520.25/733,843.46
  6. Step 6: Final answer
    x = 561,889.12

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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.