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Finding the Fourth Proportional to 419,523.73, 629,376.74 and 153,283.84

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Solution

The fourth proportional to 419,523.73, 629,376.74 and 153,283.84 is: 229,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,523.73 : 629,376.74 = 153,283.84 : x
  2. Step 2: Convert to fraction form
    419,523.73/629,376.74 = 153,283.84/x
  3. Step 3: Cross multiply
    419,523.73x = 629,376.74 × 153,283.84
  4. Step 4: Simplify right side
    419,523.73x = 96,473,283,513.88
  5. Step 5: Solve for x
    x = 96,473,283,513.88/419,523.73
  6. Step 6: Final answer
    x = 229,959.06

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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.