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Finding the Fourth Proportional to 284,355.72, 392,475.24 and 203,874.12

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Solution

The fourth proportional to 284,355.72, 392,475.24 and 203,874.12 is: 281,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,355.72 : 392,475.24 = 203,874.12 : x
  2. Step 2: Convert to fraction form
    284,355.72/392,475.24 = 203,874.12/x
  3. Step 3: Cross multiply
    284,355.72x = 392,475.24 × 203,874.12
  4. Step 4: Simplify right side
    284,355.72x = 80,015,544,176.79
  5. Step 5: Solve for x
    x = 80,015,544,176.79/284,355.72
  6. Step 6: Final answer
    x = 281,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.