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Finding the Fourth Proportional to 407,002.58, 610,623.24 and 182,313.03

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Solution

The fourth proportional to 407,002.58, 610,623.24 and 182,313.03 is: 273,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.58 : 610,623.24 = 182,313.03 : x
  2. Step 2: Convert to fraction form
    407,002.58/610,623.24 = 182,313.03/x
  3. Step 3: Cross multiply
    407,002.58x = 610,623.24 × 182,313.03
  4. Step 4: Simplify right side
    407,002.58x = 111,324,573,072.82
  5. Step 5: Solve for x
    x = 111,324,573,072.82/407,002.58
  6. Step 6: Final answer
    x = 273,523.02

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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.