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Finding the Fourth Proportional to 446,853, 669,901.89 and 193,942.24

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Solution

The fourth proportional to 446,853, 669,901.89 and 193,942.24 is: 290,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,853 : 669,901.89 = 193,942.24 : x
  2. Step 2: Convert to fraction form
    446,853/669,901.89 = 193,942.24/x
  3. Step 3: Cross multiply
    446,853x = 669,901.89 × 193,942.24
  4. Step 4: Simplify right side
    446,853x = 129,922,273,126.83
  5. Step 5: Solve for x
    x = 129,922,273,126.83/446,853
  6. Step 6: Final answer
    x = 290,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.