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Finding the Fourth Proportional to 284,906.16, 427,457.52 and 107,463.96

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Solution

The fourth proportional to 284,906.16, 427,457.52 and 107,463.96 is: 161,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906.16 : 427,457.52 = 107,463.96 : x
  2. Step 2: Convert to fraction form
    284,906.16/427,457.52 = 107,463.96/x
  3. Step 3: Cross multiply
    284,906.16x = 427,457.52 × 107,463.96
  4. Step 4: Simplify right side
    284,906.16x = 45,936,277,830.98
  5. Step 5: Solve for x
    x = 45,936,277,830.98/284,906.16
  6. Step 6: Final answer
    x = 161,233.01

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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.