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Finding the Fourth Proportional to 986,612, 1,361,524.56 and 533,903

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Solution

The fourth proportional to 986,612, 1,361,524.56 and 533,903 is: 736,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,612 : 1,361,524.56 = 533,903 : x
  2. Step 2: Convert to fraction form
    986,612/1,361,524.56 = 533,903/x
  3. Step 3: Cross multiply
    986,612x = 1,361,524.56 × 533,903
  4. Step 4: Simplify right side
    986,612x = 726,922,047,157.68
  5. Step 5: Solve for x
    x = 726,922,047,157.68/986,612
  6. Step 6: Final answer
    x = 736,786.14

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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.