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Finding the Fourth Proportional to 299,085.14, 412,504.11 and 191,665.17

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Solution

The fourth proportional to 299,085.14, 412,504.11 and 191,665.17 is: 264,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.14 : 412,504.11 = 191,665.17 : x
  2. Step 2: Convert to fraction form
    299,085.14/412,504.11 = 191,665.17/x
  3. Step 3: Cross multiply
    299,085.14x = 412,504.11 × 191,665.17
  4. Step 4: Simplify right side
    299,085.14x = 79,062,670,368.85
  5. Step 5: Solve for x
    x = 79,062,670,368.85/299,085.14
  6. Step 6: Final answer
    x = 264,348.37

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1.5x scale

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.