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Finding the Fourth Proportional to 405,014.24, 558,896.49 and 241,854.86

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Solution

The fourth proportional to 405,014.24, 558,896.49 and 241,854.86 is: 333,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,014.24 : 558,896.49 = 241,854.86 : x
  2. Step 2: Convert to fraction form
    405,014.24/558,896.49 = 241,854.86/x
  3. Step 3: Cross multiply
    405,014.24x = 558,896.49 × 241,854.86
  4. Step 4: Simplify right side
    405,014.24x = 135,171,829,548.96
  5. Step 5: Solve for x
    x = 135,171,829,548.96/405,014.24
  6. Step 6: Final answer
    x = 333,745.87

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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.