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Finding the Fourth Proportional to 299,063.21, 412,473.96 and 191,643.24

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Solution

The fourth proportional to 299,063.21, 412,473.96 and 191,643.24 is: 264,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,063.21 : 412,473.96 = 191,643.24 : x
  2. Step 2: Convert to fraction form
    299,063.21/412,473.96 = 191,643.24/x
  3. Step 3: Cross multiply
    299,063.21x = 412,473.96 × 191,643.24
  4. Step 4: Simplify right side
    299,063.21x = 79,047,846,110.03
  5. Step 5: Solve for x
    x = 79,047,846,110.03/299,063.21
  6. Step 6: Final answer
    x = 264,318.19

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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.