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Finding the Fourth Proportional to 299,497.03, 413,314.41 and 163,539.61

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Solution

The fourth proportional to 299,497.03, 413,314.41 and 163,539.61 is: 225,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,497.03 : 413,314.41 = 163,539.61 : x
  2. Step 2: Convert to fraction form
    299,497.03/413,314.41 = 163,539.61/x
  3. Step 3: Cross multiply
    299,497.03x = 413,314.41 × 163,539.61
  4. Step 4: Simplify right side
    299,497.03x = 67,593,276,998.77
  5. Step 5: Solve for x
    x = 67,593,276,998.77/299,497.03
  6. Step 6: Final answer
    x = 225,689.31

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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.