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Finding the Fourth Proportional to 301,877.71, 416,630.75 and 194,759.36

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Solution

The fourth proportional to 301,877.71, 416,630.75 and 194,759.36 is: 268,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,877.71 : 416,630.75 = 194,759.36 : x
  2. Step 2: Convert to fraction form
    301,877.71/416,630.75 = 194,759.36/x
  3. Step 3: Cross multiply
    301,877.71x = 416,630.75 × 194,759.36
  4. Step 4: Simplify right side
    301,877.71x = 81,142,738,226.32
  5. Step 5: Solve for x
    x = 81,142,738,226.32/301,877.71
  6. Step 6: Final answer
    x = 268,793.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.