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Finding the Fourth Proportional to 393,678.56, 589,630.01 and 182,872.88

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Solution

The fourth proportional to 393,678.56, 589,630.01 and 182,872.88 is: 273,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678.56 : 589,630.01 = 182,872.88 : x
  2. Step 2: Convert to fraction form
    393,678.56/589,630.01 = 182,872.88/x
  3. Step 3: Cross multiply
    393,678.56x = 589,630.01 × 182,872.88
  4. Step 4: Simplify right side
    393,678.56x = 107,827,334,200.61
  5. Step 5: Solve for x
    x = 107,827,334,200.61/393,678.56
  6. Step 6: Final answer
    x = 273,896.90

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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.