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Finding the Fourth Proportional to 284,688.74, 392,601.94 and 182,745.38

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Solution

The fourth proportional to 284,688.74, 392,601.94 and 182,745.38 is: 252,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,688.74 : 392,601.94 = 182,745.38 : x
  2. Step 2: Convert to fraction form
    284,688.74/392,601.94 = 182,745.38/x
  3. Step 3: Cross multiply
    284,688.74x = 392,601.94 × 182,745.38
  4. Step 4: Simplify right side
    284,688.74x = 71,746,191,238.68
  5. Step 5: Solve for x
    x = 71,746,191,238.68/284,688.74
  6. Step 6: Final answer
    x = 252,016.26

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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.