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Finding the Fourth Proportional to 299,240.43, 412,951.62 and 191,810.38

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Solution

The fourth proportional to 299,240.43, 412,951.62 and 191,810.38 is: 264,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,240.43 : 412,951.62 = 191,810.38 : x
  2. Step 2: Convert to fraction form
    299,240.43/412,951.62 = 191,810.38/x
  3. Step 3: Cross multiply
    299,240.43x = 412,951.62 × 191,810.38
  4. Step 4: Simplify right side
    299,240.43x = 79,208,406,536.08
  5. Step 5: Solve for x
    x = 79,208,406,536.08/299,240.43
  6. Step 6: Final answer
    x = 264,698.21

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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.