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Finding the Fourth Proportional to 339,842.34, 468,994.47 and 186,892.16

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Solution

The fourth proportional to 339,842.34, 468,994.47 and 186,892.16 is: 257,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,842.34 : 468,994.47 = 186,892.16 : x
  2. Step 2: Convert to fraction form
    339,842.34/468,994.47 = 186,892.16/x
  3. Step 3: Cross multiply
    339,842.34x = 468,994.47 × 186,892.16
  4. Step 4: Simplify right side
    339,842.34x = 87,651,391,456.70
  5. Step 5: Solve for x
    x = 87,651,391,456.70/339,842.34
  6. Step 6: Final answer
    x = 257,917.81

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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.