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Finding the Fourth Proportional to 393,676.74, 589,627.29 and 182,871.06

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Solution

The fourth proportional to 393,676.74, 589,627.29 and 182,871.06 is: 273,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,676.74 : 589,627.29 = 182,871.06 : x
  2. Step 2: Convert to fraction form
    393,676.74/589,627.29 = 182,871.06/x
  3. Step 3: Cross multiply
    393,676.74x = 589,627.29 × 182,871.06
  4. Step 4: Simplify right side
    393,676.74x = 107,825,767,527.23
  5. Step 5: Solve for x
    x = 107,825,767,527.23/393,676.74
  6. Step 6: Final answer
    x = 273,894.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.