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Finding the Fourth Proportional to 493,940.19, 681,668.96 and 302,927.61

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Solution

The fourth proportional to 493,940.19, 681,668.96 and 302,927.61 is: 418,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,940.19 : 681,668.96 = 302,927.61 : x
  2. Step 2: Convert to fraction form
    493,940.19/681,668.96 = 302,927.61/x
  3. Step 3: Cross multiply
    493,940.19x = 681,668.96 × 302,927.61
  4. Step 4: Simplify right side
    493,940.19x = 206,496,347,349.35
  5. Step 5: Solve for x
    x = 206,496,347,349.35/493,940.19
  6. Step 6: Final answer
    x = 418,059.42

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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.