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Finding the Fourth Proportional to 296,673.93, 444,961.71 and 107,097.98

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Solution

The fourth proportional to 296,673.93, 444,961.71 and 107,097.98 is: 160,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,673.93 : 444,961.71 = 107,097.98 : x
  2. Step 2: Convert to fraction form
    296,673.93/444,961.71 = 107,097.98/x
  3. Step 3: Cross multiply
    296,673.93x = 444,961.71 × 107,097.98
  4. Step 4: Simplify right side
    296,673.93x = 47,654,498,093.54
  5. Step 5: Solve for x
    x = 47,654,498,093.54/296,673.93
  6. Step 6: Final answer
    x = 160,629.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.