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Finding the Fourth Proportional to 298,977.78, 414,370.33 and 293,379.06

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Solution

The fourth proportional to 298,977.78, 414,370.33 and 293,379.06 is: 406,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977.78 : 414,370.33 = 293,379.06 : x
  2. Step 2: Convert to fraction form
    298,977.78/414,370.33 = 293,379.06/x
  3. Step 3: Cross multiply
    298,977.78x = 414,370.33 × 293,379.06
  4. Step 4: Simplify right side
    298,977.78x = 121,567,577,907.29
  5. Step 5: Solve for x
    x = 121,567,577,907.29/298,977.78
  6. Step 6: Final answer
    x = 406,610.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.