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Finding the Fourth Proportional to 511,013.84, 705,042.99 and 296,112.38

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Solution

The fourth proportional to 511,013.84, 705,042.99 and 296,112.38 is: 408,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,013.84 : 705,042.99 = 296,112.38 : x
  2. Step 2: Convert to fraction form
    511,013.84/705,042.99 = 296,112.38/x
  3. Step 3: Cross multiply
    511,013.84x = 705,042.99 × 296,112.38
  4. Step 4: Simplify right side
    511,013.84x = 208,771,957,771.22
  5. Step 5: Solve for x
    x = 208,771,957,771.22/511,013.84
  6. Step 6: Final answer
    x = 408,544.63

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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.