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Finding the Fourth Proportional to 365,115.43, 547,735.42 and 162,784.95

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Solution

The fourth proportional to 365,115.43, 547,735.42 and 162,784.95 is: 244,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,115.43 : 547,735.42 = 162,784.95 : x
  2. Step 2: Convert to fraction form
    365,115.43/547,735.42 = 162,784.95/x
  3. Step 3: Cross multiply
    365,115.43x = 547,735.42 × 162,784.95
  4. Step 4: Simplify right side
    365,115.43x = 89,163,082,957.93
  5. Step 5: Solve for x
    x = 89,163,082,957.93/365,115.43
  6. Step 6: Final answer
    x = 244,205.19

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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.