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Finding the Fourth Proportional to 335,057.93, 462,487.61 and 214,523.81

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Solution

The fourth proportional to 335,057.93, 462,487.61 and 214,523.81 is: 296,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,057.93 : 462,487.61 = 214,523.81 : x
  2. Step 2: Convert to fraction form
    335,057.93/462,487.61 = 214,523.81/x
  3. Step 3: Cross multiply
    335,057.93x = 462,487.61 × 214,523.81
  4. Step 4: Simplify right side
    335,057.93x = 99,214,603,102.38
  5. Step 5: Solve for x
    x = 99,214,603,102.38/335,057.93
  6. Step 6: Final answer
    x = 296,111.79

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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.