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Finding the Fourth Proportional to 299,284.42, 413,021.27 and 163,327.14

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Solution

The fourth proportional to 299,284.42, 413,021.27 and 163,327.14 is: 225,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,284.42 : 413,021.27 = 163,327.14 : x
  2. Step 2: Convert to fraction form
    299,284.42/413,021.27 = 163,327.14/x
  3. Step 3: Cross multiply
    299,284.42x = 413,021.27 × 163,327.14
  4. Step 4: Simplify right side
    299,284.42x = 67,457,583,971.00
  5. Step 5: Solve for x
    x = 67,457,583,971.00/299,284.42
  6. Step 6: Final answer
    x = 225,396.25

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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.