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Finding the Fourth Proportional to 327,643.45, 491,498.71 and 125,409.47

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Solution

The fourth proportional to 327,643.45, 491,498.71 and 125,409.47 is: 188,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,643.45 : 491,498.71 = 125,409.47 : x
  2. Step 2: Convert to fraction form
    327,643.45/491,498.71 = 125,409.47/x
  3. Step 3: Cross multiply
    327,643.45x = 491,498.71 × 125,409.47
  4. Step 4: Simplify right side
    327,643.45x = 61,638,589,955.77
  5. Step 5: Solve for x
    x = 61,638,589,955.77/327,643.45
  6. Step 6: Final answer
    x = 188,127.03

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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.