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Finding the Fourth Proportional to 1,429,463.97, 1,972,724.63 and 856,491.84

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Solution

The fourth proportional to 1,429,463.97, 1,972,724.63 and 856,491.84 is: 1,181,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,463.97 : 1,972,724.63 = 856,491.84 : x
  2. Step 2: Convert to fraction form
    1,429,463.97/1,972,724.63 = 856,491.84/x
  3. Step 3: Cross multiply
    1,429,463.97x = 1,972,724.63 × 856,491.84
  4. Step 4: Simplify right side
    1,429,463.97x = 1,689,622,543,879.56
  5. Step 5: Solve for x
    x = 1,689,622,543,879.56/1,429,463.97
  6. Step 6: Final answer
    x = 1,181,997.29

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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.