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Finding the Fourth Proportional to 301,876.71, 416,629.37 and 194,758.36

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Solution

The fourth proportional to 301,876.71, 416,629.37 and 194,758.36 is: 268,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,876.71 : 416,629.37 = 194,758.36 : x
  2. Step 2: Convert to fraction form
    301,876.71/416,629.37 = 194,758.36/x
  3. Step 3: Cross multiply
    301,876.71x = 416,629.37 × 194,758.36
  4. Step 4: Simplify right side
    301,876.71x = 81,142,052,274.36
  5. Step 5: Solve for x
    x = 81,142,052,274.36/301,876.71
  6. Step 6: Final answer
    x = 268,792.03

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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.