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Finding the Fourth Proportional to 311,389.97, 429,749.89 and 190,611.07

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Solution

The fourth proportional to 311,389.97, 429,749.89 and 190,611.07 is: 263,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,389.97 : 429,749.89 = 190,611.07 : x
  2. Step 2: Convert to fraction form
    311,389.97/429,749.89 = 190,611.07/x
  3. Step 3: Cross multiply
    311,389.97x = 429,749.89 × 190,611.07
  4. Step 4: Simplify right side
    311,389.97x = 81,915,084,814.38
  5. Step 5: Solve for x
    x = 81,915,084,814.38/311,389.97
  6. Step 6: Final answer
    x = 263,062.70

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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.