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Finding the Fourth Proportional to 384,208.36, 530,158.62 and 214,449.64

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Solution

The fourth proportional to 384,208.36, 530,158.62 and 214,449.64 is: 295,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,208.36 : 530,158.62 = 214,449.64 : x
  2. Step 2: Convert to fraction form
    384,208.36/530,158.62 = 214,449.64/x
  3. Step 3: Cross multiply
    384,208.36x = 530,158.62 × 214,449.64
  4. Step 4: Simplify right side
    384,208.36x = 113,692,325,201.90
  5. Step 5: Solve for x
    x = 113,692,325,201.90/384,208.36
  6. Step 6: Final answer
    x = 295,913.20

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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.