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Finding the Fourth Proportional to 393,684.49, 589,638.91 and 182,878.81

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Solution

The fourth proportional to 393,684.49, 589,638.91 and 182,878.81 is: 273,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,684.49 : 589,638.91 = 182,878.81 : x
  2. Step 2: Convert to fraction form
    393,684.49/589,638.91 = 182,878.81/x
  3. Step 3: Cross multiply
    393,684.49x = 589,638.91 × 182,878.81
  4. Step 4: Simplify right side
    393,684.49x = 107,832,462,190.50
  5. Step 5: Solve for x
    x = 107,832,462,190.50/393,684.49
  6. Step 6: Final answer
    x = 273,905.79

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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.