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Finding the Fourth Proportional to 335,835.72, 463,097.25 and 214,982.10

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Solution

The fourth proportional to 335,835.72, 463,097.25 and 214,982.10 is: 296,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,835.72 : 463,097.25 = 214,982.10 : x
  2. Step 2: Convert to fraction form
    335,835.72/463,097.25 = 214,982.10/x
  3. Step 3: Cross multiply
    335,835.72x = 463,097.25 × 214,982.10
  4. Step 4: Simplify right side
    335,835.72x = 99,557,619,309.23
  5. Step 5: Solve for x
    x = 99,557,619,309.23/335,835.72
  6. Step 6: Final answer
    x = 296,447.38

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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.