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Finding the Fourth Proportional to 492,643.50, 739,072.44 and 151,087.11

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Solution

The fourth proportional to 492,643.50, 739,072.44 and 151,087.11 is: 226,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,643.50 : 739,072.44 = 151,087.11 : x
  2. Step 2: Convert to fraction form
    492,643.50/739,072.44 = 151,087.11/x
  3. Step 3: Cross multiply
    492,643.50x = 739,072.44 × 151,087.11
  4. Step 4: Simplify right side
    492,643.50x = 111,664,319,040.25
  5. Step 5: Solve for x
    x = 111,664,319,040.25/492,643.50
  6. Step 6: Final answer
    x = 226,663.54

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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.