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Finding the Fourth Proportional to 384,045.63, 529,971.96 and 214,276.11

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Solution

The fourth proportional to 384,045.63, 529,971.96 and 214,276.11 is: 295,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,045.63 : 529,971.96 = 214,276.11 : x
  2. Step 2: Convert to fraction form
    384,045.63/529,971.96 = 214,276.11/x
  3. Step 3: Cross multiply
    384,045.63x = 529,971.96 × 214,276.11
  4. Step 4: Simplify right side
    384,045.63x = 113,560,329,997.88
  5. Step 5: Solve for x
    x = 113,560,329,997.88/384,045.63
  6. Step 6: Final answer
    x = 295,694.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.