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Finding the Fourth Proportional to 365,114.42, 547,733.92 and 162,783.96

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Solution

The fourth proportional to 365,114.42, 547,733.92 and 162,783.96 is: 244,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,114.42 : 547,733.92 = 162,783.96 : x
  2. Step 2: Convert to fraction form
    365,114.42/547,733.92 = 162,783.96/x
  3. Step 3: Cross multiply
    365,114.42x = 547,733.92 × 162,783.96
  4. Step 4: Simplify right side
    365,114.42x = 89,162,296,523.92
  5. Step 5: Solve for x
    x = 89,162,296,523.92/365,114.42
  6. Step 6: Final answer
    x = 244,203.71

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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.