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Finding the Fourth Proportional to 299,511.42, 413,327.77 and 163,546.32

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Solution

The fourth proportional to 299,511.42, 413,327.77 and 163,546.32 is: 225,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511.42 : 413,327.77 = 163,546.32 : x
  2. Step 2: Convert to fraction form
    299,511.42/413,327.77 = 163,546.32/x
  3. Step 3: Cross multiply
    299,511.42x = 413,327.77 × 163,546.32
  4. Step 4: Simplify right side
    299,511.42x = 67,598,235,737.31
  5. Step 5: Solve for x
    x = 67,598,235,737.31/299,511.42
  6. Step 6: Final answer
    x = 225,695.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.