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Finding the Fourth Proportional to 986,583, 1,361,485.76 and 533,874

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Solution

The fourth proportional to 986,583, 1,361,485.76 and 533,874 is: 736,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,583 : 1,361,485.76 = 533,874 : x
  2. Step 2: Convert to fraction form
    986,583/1,361,485.76 = 533,874/x
  3. Step 3: Cross multiply
    986,583x = 1,361,485.76 × 533,874
  4. Step 4: Simplify right side
    986,583x = 726,861,848,634.24
  5. Step 5: Solve for x
    x = 726,861,848,634.24/986,583
  6. Step 6: Final answer
    x = 736,746.78

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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.