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Finding the Fourth Proportional to 1,586,385, 2,189,211.30 and 870,993

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Solution

The fourth proportional to 1,586,385, 2,189,211.30 and 870,993 is: 1,201,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,385 : 2,189,211.30 = 870,993 : x
  2. Step 2: Convert to fraction form
    1,586,385/2,189,211.30 = 870,993/x
  3. Step 3: Cross multiply
    1,586,385x = 2,189,211.30 × 870,993
  4. Step 4: Simplify right side
    1,586,385x = 1,906,787,717,820.90
  5. Step 5: Solve for x
    x = 1,906,787,717,820.90/1,586,385
  6. Step 6: Final answer
    x = 1,201,970.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.