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Finding the Fourth Proportional to 298,469.15, 411,866.66 and 169,410.27

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Solution

The fourth proportional to 298,469.15, 411,866.66 and 169,410.27 is: 233,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469.15 : 411,866.66 = 169,410.27 : x
  2. Step 2: Convert to fraction form
    298,469.15/411,866.66 = 169,410.27/x
  3. Step 3: Cross multiply
    298,469.15x = 411,866.66 × 169,410.27
  4. Step 4: Simplify right side
    298,469.15x = 69,774,440,772.94
  5. Step 5: Solve for x
    x = 69,774,440,772.94/298,469.15
  6. Step 6: Final answer
    x = 233,774.38

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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.