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Finding the Fourth Proportional to 365,113.06, 547,731.86 and 162,782.58

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Solution

The fourth proportional to 365,113.06, 547,731.86 and 162,782.58 is: 244,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,113.06 : 547,731.86 = 162,782.58 : x
  2. Step 2: Convert to fraction form
    365,113.06/547,731.86 = 162,782.58/x
  3. Step 3: Cross multiply
    365,113.06x = 547,731.86 × 162,782.58
  4. Step 4: Simplify right side
    365,113.06x = 89,161,201,766.43
  5. Step 5: Solve for x
    x = 89,161,201,766.43/365,113.06
  6. Step 6: Final answer
    x = 244,201.63

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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.