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Finding the Fourth Proportional to 325,309.77, 448,825.19 and 182,047.05

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Solution

The fourth proportional to 325,309.77, 448,825.19 and 182,047.05 is: 251,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,309.77 : 448,825.19 = 182,047.05 : x
  2. Step 2: Convert to fraction form
    325,309.77/448,825.19 = 182,047.05/x
  3. Step 3: Cross multiply
    325,309.77x = 448,825.19 × 182,047.05
  4. Step 4: Simplify right side
    325,309.77x = 81,707,300,894.95
  5. Step 5: Solve for x
    x = 81,707,300,894.95/325,309.77
  6. Step 6: Final answer
    x = 251,167.68

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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.