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Finding the Fourth Proportional to 299,419.32, 413,181.12 and 163,426.32

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Solution

The fourth proportional to 299,419.32, 413,181.12 and 163,426.32 is: 225,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,419.32 : 413,181.12 = 163,426.32 : x
  2. Step 2: Convert to fraction form
    299,419.32/413,181.12 = 163,426.32/x
  3. Step 3: Cross multiply
    299,419.32x = 413,181.12 × 163,426.32
  4. Step 4: Simplify right side
    299,419.32x = 67,524,669,935.08
  5. Step 5: Solve for x
    x = 67,524,669,935.08/299,419.32
  6. Step 6: Final answer
    x = 225,518.75

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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.