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Finding the Fourth Proportional to 299,879.01, 413,830.22 and 169,044.77

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Solution

The fourth proportional to 299,879.01, 413,830.22 and 169,044.77 is: 233,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,879.01 : 413,830.22 = 169,044.77 : x
  2. Step 2: Convert to fraction form
    299,879.01/413,830.22 = 169,044.77/x
  3. Step 3: Cross multiply
    299,879.01x = 413,830.22 × 169,044.77
  4. Step 4: Simplify right side
    299,879.01x = 69,955,834,548.30
  5. Step 5: Solve for x
    x = 69,955,834,548.30/299,879.01
  6. Step 6: Final answer
    x = 233,280.20

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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.