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Finding the Fourth Proportional to 284,563.29, 392,771.13 and 163,716.96

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Solution

The fourth proportional to 284,563.29, 392,771.13 and 163,716.96 is: 225,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,563.29 : 392,771.13 = 163,716.96 : x
  2. Step 2: Convert to fraction form
    284,563.29/392,771.13 = 163,716.96/x
  3. Step 3: Cross multiply
    284,563.29x = 392,771.13 × 163,716.96
  4. Step 4: Simplify right side
    284,563.29x = 64,303,295,379.36
  5. Step 5: Solve for x
    x = 64,303,295,379.36/284,563.29
  6. Step 6: Final answer
    x = 225,971.86

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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.