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Finding the Fourth Proportional to 286,861.92, 395,898.48 and 164,370.52

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Solution

The fourth proportional to 286,861.92, 395,898.48 and 164,370.52 is: 226,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,861.92 : 395,898.48 = 164,370.52 : x
  2. Step 2: Convert to fraction form
    286,861.92/395,898.48 = 164,370.52/x
  3. Step 3: Cross multiply
    286,861.92x = 395,898.48 × 164,370.52
  4. Step 4: Simplify right side
    286,861.92x = 65,074,039,024.81
  5. Step 5: Solve for x
    x = 65,074,039,024.81/286,861.92
  6. Step 6: Final answer
    x = 226,847.95

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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.