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Finding the Fourth Proportional to 412,745.32, 569,347.21 and 259,540.98

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Solution

The fourth proportional to 412,745.32, 569,347.21 and 259,540.98 is: 358,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,745.32 : 569,347.21 = 259,540.98 : x
  2. Step 2: Convert to fraction form
    412,745.32/569,347.21 = 259,540.98/x
  3. Step 3: Cross multiply
    412,745.32x = 569,347.21 × 259,540.98
  4. Step 4: Simplify right side
    412,745.32x = 147,768,932,843.67
  5. Step 5: Solve for x
    x = 147,768,932,843.67/412,745.32
  6. Step 6: Final answer
    x = 358,014.80

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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.