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Finding the Fourth Proportional to 416,511.72, 624,762.06 and 100,971.48

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Solution

The fourth proportional to 416,511.72, 624,762.06 and 100,971.48 is: 151,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,511.72 : 624,762.06 = 100,971.48 : x
  2. Step 2: Convert to fraction form
    416,511.72/624,762.06 = 100,971.48/x
  3. Step 3: Cross multiply
    416,511.72x = 624,762.06 × 100,971.48
  4. Step 4: Simplify right side
    416,511.72x = 63,083,149,846.05
  5. Step 5: Solve for x
    x = 63,083,149,846.05/416,511.72
  6. Step 6: Final answer
    x = 151,455.88

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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.