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Finding the Fourth Proportional to 365,116.42, 547,736.92 and 162,785.96

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Solution

The fourth proportional to 365,116.42, 547,736.92 and 162,785.96 is: 244,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,116.42 : 547,736.92 = 162,785.96 : x
  2. Step 2: Convert to fraction form
    365,116.42/547,736.92 = 162,785.96/x
  3. Step 3: Cross multiply
    365,116.42x = 547,736.92 × 162,785.96
  4. Step 4: Simplify right side
    365,116.42x = 89,163,880,349.64
  5. Step 5: Solve for x
    x = 89,163,880,349.64/365,116.42
  6. Step 6: Final answer
    x = 244,206.71

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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.