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Finding the Fourth Proportional to 384,335.20, 530,385.28 and 214,578.64

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Solution

The fourth proportional to 384,335.20, 530,385.28 and 214,578.64 is: 296,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,335.20 : 530,385.28 = 214,578.64 : x
  2. Step 2: Convert to fraction form
    384,335.20/530,385.28 = 214,578.64/x
  3. Step 3: Cross multiply
    384,335.20x = 530,385.28 × 214,578.64
  4. Step 4: Simplify right side
    384,335.20x = 113,809,352,058.42
  5. Step 5: Solve for x
    x = 113,809,352,058.42/384,335.20
  6. Step 6: Final answer
    x = 296,120.03

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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.