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Finding the Fourth Proportional to 491,791.58, 737,622.74 and 154,834

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Solution

The fourth proportional to 491,791.58, 737,622.74 and 154,834 is: 232,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,791.58 : 737,622.74 = 154,834 : x
  2. Step 2: Convert to fraction form
    491,791.58/737,622.74 = 154,834/x
  3. Step 3: Cross multiply
    491,791.58x = 737,622.74 × 154,834
  4. Step 4: Simplify right side
    491,791.58x = 114,209,079,325.16
  5. Step 5: Solve for x
    x = 114,209,079,325.16/491,791.58
  6. Step 6: Final answer
    x = 232,230.65

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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.