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Finding the Fourth Proportional to 299,466.40, 413,245.92 and 163,473.28

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Solution

The fourth proportional to 299,466.40, 413,245.92 and 163,473.28 is: 225,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,466.40 : 413,245.92 = 163,473.28 : x
  2. Step 2: Convert to fraction form
    299,466.40/413,245.92 = 163,473.28/x
  3. Step 3: Cross multiply
    299,466.40x = 413,245.92 × 163,473.28
  4. Step 4: Simplify right side
    299,466.40x = 67,554,665,989.02
  5. Step 5: Solve for x
    x = 67,554,665,989.02/299,466.40
  6. Step 6: Final answer
    x = 225,583.46

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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.