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Finding the Fourth Proportional to 384,011.22, 529,937.01 and 214,252.50

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Solution

The fourth proportional to 384,011.22, 529,937.01 and 214,252.50 is: 295,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,011.22 : 529,937.01 = 214,252.50 : x
  2. Step 2: Convert to fraction form
    384,011.22/529,937.01 = 214,252.50/x
  3. Step 3: Cross multiply
    384,011.22x = 529,937.01 × 214,252.50
  4. Step 4: Simplify right side
    384,011.22x = 113,540,329,235.03
  5. Step 5: Solve for x
    x = 113,540,329,235.03/384,011.22
  6. Step 6: Final answer
    x = 295,669.30

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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.