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Finding the Fourth Proportional to 470,654.28, 705,696.57 and 189,843.48

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Solution

The fourth proportional to 470,654.28, 705,696.57 and 189,843.48 is: 284,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,654.28 : 705,696.57 = 189,843.48 : x
  2. Step 2: Convert to fraction form
    470,654.28/705,696.57 = 189,843.48/x
  3. Step 3: Cross multiply
    470,654.28x = 705,696.57 × 189,843.48
  4. Step 4: Simplify right side
    470,654.28x = 133,971,892,672.86
  5. Step 5: Solve for x
    x = 133,971,892,672.86/470,654.28
  6. Step 6: Final answer
    x = 284,650.32

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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.