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Finding the Fourth Proportional to 299,465.26, 413,259.24 and 163,498.03

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Solution

The fourth proportional to 299,465.26, 413,259.24 and 163,498.03 is: 225,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,465.26 : 413,259.24 = 163,498.03 : x
  2. Step 2: Convert to fraction form
    299,465.26/413,259.24 = 163,498.03/x
  3. Step 3: Cross multiply
    299,465.26x = 413,259.24 × 163,498.03
  4. Step 4: Simplify right side
    299,465.26x = 67,567,071,619.30
  5. Step 5: Solve for x
    x = 67,567,071,619.30/299,465.26
  6. Step 6: Final answer
    x = 225,625.74

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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.