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Finding the Fourth Proportional to 1,409,473.47, 1,945,074.56 and 764,893.65

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Solution

The fourth proportional to 1,409,473.47, 1,945,074.56 and 764,893.65 is: 1,055,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,473.47 : 1,945,074.56 = 764,893.65 : x
  2. Step 2: Convert to fraction form
    1,409,473.47/1,945,074.56 = 764,893.65/x
  3. Step 3: Cross multiply
    1,409,473.47x = 1,945,074.56 × 764,893.65
  4. Step 4: Simplify right side
    1,409,473.47x = 1,487,775,175,896.08
  5. Step 5: Solve for x
    x = 1,487,775,175,896.08/1,409,473.47
  6. Step 6: Final answer
    x = 1,055,553.87

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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.