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Finding the Fourth Proportional to 384,753.67, 530,958.93 and 214,987.93

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Solution

The fourth proportional to 384,753.67, 530,958.93 and 214,987.93 is: 296,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,753.67 : 530,958.93 = 214,987.93 : x
  2. Step 2: Convert to fraction form
    384,753.67/530,958.93 = 214,987.93/x
  3. Step 3: Cross multiply
    384,753.67x = 530,958.93 × 214,987.93
  4. Step 4: Simplify right side
    384,753.67x = 114,149,759,142.11
  5. Step 5: Solve for x
    x = 114,149,759,142.11/384,753.67
  6. Step 6: Final answer
    x = 296,682.71

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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.