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Finding the Fourth Proportional to 299,410.65, 413,187.75 and 163,447.61

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Solution

The fourth proportional to 299,410.65, 413,187.75 and 163,447.61 is: 225,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,410.65 : 413,187.75 = 163,447.61 : x
  2. Step 2: Convert to fraction form
    299,410.65/413,187.75 = 163,447.61/x
  3. Step 3: Cross multiply
    299,410.65x = 413,187.75 × 163,447.61
  4. Step 4: Simplify right side
    299,410.65x = 67,534,548,152.84
  5. Step 5: Solve for x
    x = 67,534,548,152.84/299,410.65
  6. Step 6: Final answer
    x = 225,558.27

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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.