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Finding the Fourth Proportional to 299,071.88, 412,485.96 and 191,651.92

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Solution

The fourth proportional to 299,071.88, 412,485.96 and 191,651.92 is: 264,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,071.88 : 412,485.96 = 191,651.92 : x
  2. Step 2: Convert to fraction form
    299,071.88/412,485.96 = 191,651.92/x
  3. Step 3: Cross multiply
    299,071.88x = 412,485.96 × 191,651.92
  4. Step 4: Simplify right side
    299,071.88x = 79,053,726,207.04
  5. Step 5: Solve for x
    x = 79,053,726,207.04/299,071.88
  6. Step 6: Final answer
    x = 264,330.19

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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.