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Finding the Fourth Proportional to 298,295.82, 411,555.42 and 169,212.96

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Solution

The fourth proportional to 298,295.82, 411,555.42 and 169,212.96 is: 233,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.82 : 411,555.42 = 169,212.96 : x
  2. Step 2: Convert to fraction form
    298,295.82/411,555.42 = 169,212.96/x
  3. Step 3: Cross multiply
    298,295.82x = 411,555.42 × 169,212.96
  4. Step 4: Simplify right side
    298,295.82x = 69,640,510,822.24
  5. Step 5: Solve for x
    x = 69,640,510,822.24/298,295.82
  6. Step 6: Final answer
    x = 233,461.24

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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.