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Finding the Fourth Proportional to 412,745.82, 569,347.90 and 259,541.48

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Solution

The fourth proportional to 412,745.82, 569,347.90 and 259,541.48 is: 358,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,745.82 : 569,347.90 = 259,541.48 : x
  2. Step 2: Convert to fraction form
    412,745.82/569,347.90 = 259,541.48/x
  3. Step 3: Cross multiply
    412,745.82x = 569,347.90 × 259,541.48
  4. Step 4: Simplify right side
    412,745.82x = 147,769,396,600.89
  5. Step 5: Solve for x
    x = 147,769,396,600.89/412,745.82
  6. Step 6: Final answer
    x = 358,015.49

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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.