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Finding the Fourth Proportional to 298,092.51, 411,246.27 and 169,003.80

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Solution

The fourth proportional to 298,092.51, 411,246.27 and 169,003.80 is: 233,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,092.51 : 411,246.27 = 169,003.80 : x
  2. Step 2: Convert to fraction form
    298,092.51/411,246.27 = 169,003.80/x
  3. Step 3: Cross multiply
    298,092.51x = 411,246.27 × 169,003.80
  4. Step 4: Simplify right side
    298,092.51x = 69,502,182,365.83
  5. Step 5: Solve for x
    x = 69,502,182,365.83/298,092.51
  6. Step 6: Final answer
    x = 233,156.42

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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.