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Finding the Fourth Proportional to 284,661, 392,832.18 and 171,507.24

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Solution

The fourth proportional to 284,661, 392,832.18 and 171,507.24 is: 236,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,661 : 392,832.18 = 171,507.24 : x
  2. Step 2: Convert to fraction form
    284,661/392,832.18 = 171,507.24/x
  3. Step 3: Cross multiply
    284,661x = 392,832.18 × 171,507.24
  4. Step 4: Simplify right side
    284,661x = 67,373,562,974.98
  5. Step 5: Solve for x
    x = 67,373,562,974.98/284,661
  6. Step 6: Final answer
    x = 236,679.99

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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.