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Finding the Fourth Proportional to 335,713.23, 463,269.78 and 182,751.66

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Solution

The fourth proportional to 335,713.23, 463,269.78 and 182,751.66 is: 252,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,713.23 : 463,269.78 = 182,751.66 : x
  2. Step 2: Convert to fraction form
    335,713.23/463,269.78 = 182,751.66/x
  3. Step 3: Cross multiply
    335,713.23x = 463,269.78 × 182,751.66
  4. Step 4: Simplify right side
    335,713.23x = 84,663,321,322.83
  5. Step 5: Solve for x
    x = 84,663,321,322.83/335,713.23
  6. Step 6: Final answer
    x = 252,189.41

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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.