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Finding the Fourth Proportional to 299,498.46, 413,304.72 and 163,531.98

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Solution

The fourth proportional to 299,498.46, 413,304.72 and 163,531.98 is: 225,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.46 : 413,304.72 = 163,531.98 : x
  2. Step 2: Convert to fraction form
    299,498.46/413,304.72 = 163,531.98/x
  3. Step 3: Cross multiply
    299,498.46x = 413,304.72 × 163,531.98
  4. Step 4: Simplify right side
    299,498.46x = 67,588,539,204.95
  5. Step 5: Solve for x
    x = 67,588,539,204.95/299,498.46
  6. Step 6: Final answer
    x = 225,672.41

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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.