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Finding the Fourth Proportional to 339,827.84, 468,992.28 and 186,892.96

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Solution

The fourth proportional to 339,827.84, 468,992.28 and 186,892.96 is: 257,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,827.84 : 468,992.28 = 186,892.96 : x
  2. Step 2: Convert to fraction form
    339,827.84/468,992.28 = 186,892.96/x
  3. Step 3: Cross multiply
    339,827.84x = 468,992.28 × 186,892.96
  4. Step 4: Simplify right side
    339,827.84x = 87,651,355,426.35
  5. Step 5: Solve for x
    x = 87,651,355,426.35/339,827.84
  6. Step 6: Final answer
    x = 257,928.71

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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.