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Finding the Fourth Proportional to 409,485.27, 614,229.48 and 125,174.77

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Solution

The fourth proportional to 409,485.27, 614,229.48 and 125,174.77 is: 187,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,485.27 : 614,229.48 = 125,174.77 : x
  2. Step 2: Convert to fraction form
    409,485.27/614,229.48 = 125,174.77/x
  3. Step 3: Cross multiply
    409,485.27x = 614,229.48 × 125,174.77
  4. Step 4: Simplify right side
    409,485.27x = 76,886,032,350.65
  5. Step 5: Solve for x
    x = 76,886,032,350.65/409,485.27
  6. Step 6: Final answer
    x = 187,762.63

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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.