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Finding the Fourth Proportional to 1,430,896.83, 1,974,207.02 and 857,727.87

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Solution

The fourth proportional to 1,430,896.83, 1,974,207.02 and 857,727.87 is: 1,183,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,896.83 : 1,974,207.02 = 857,727.87 : x
  2. Step 2: Convert to fraction form
    1,430,896.83/1,974,207.02 = 857,727.87/x
  3. Step 3: Cross multiply
    1,430,896.83x = 1,974,207.02 × 857,727.87
  4. Step 4: Simplify right side
    1,430,896.83x = 1,693,332,382,203.65
  5. Step 5: Solve for x
    x = 1,693,332,382,203.65/1,430,896.83
  6. Step 6: Final answer
    x = 1,183,406.34

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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.