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Finding the Fourth Proportional to 384,143.08, 530,167.61 and 214,412.44

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Solution

The fourth proportional to 384,143.08, 530,167.61 and 214,412.44 is: 295,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.08 : 530,167.61 = 214,412.44 : x
  2. Step 2: Convert to fraction form
    384,143.08/530,167.61 = 214,412.44/x
  3. Step 3: Cross multiply
    384,143.08x = 530,167.61 × 214,412.44
  4. Step 4: Simplify right side
    384,143.08x = 113,674,530,869.07
  5. Step 5: Solve for x
    x = 113,674,530,869.07/384,143.08
  6. Step 6: Final answer
    x = 295,917.16

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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.