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Finding the Fourth Proportional to 384,206.36, 530,155.87 and 214,447.64

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Solution

The fourth proportional to 384,206.36, 530,155.87 and 214,447.64 is: 295,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,206.36 : 530,155.87 = 214,447.64 : x
  2. Step 2: Convert to fraction form
    384,206.36/530,155.87 = 214,447.64/x
  3. Step 3: Cross multiply
    384,206.36x = 530,155.87 × 214,447.64
  4. Step 4: Simplify right side
    384,206.36x = 113,690,671,966.75
  5. Step 5: Solve for x
    x = 113,690,671,966.75/384,206.36
  6. Step 6: Final answer
    x = 295,910.44

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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.