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Finding the Fourth Proportional to 384,259.20, 530,266.68 and 214,489.68

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Solution

The fourth proportional to 384,259.20, 530,266.68 and 214,489.68 is: 295,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,259.20 : 530,266.68 = 214,489.68 : x
  2. Step 2: Convert to fraction form
    384,259.20/530,266.68 = 214,489.68/x
  3. Step 3: Cross multiply
    384,259.20x = 530,266.68 × 214,489.68
  4. Step 4: Simplify right side
    384,259.20x = 113,736,730,507.86
  5. Step 5: Solve for x
    x = 113,736,730,507.86/384,259.20
  6. Step 6: Final answer
    x = 295,989.61

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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.