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Finding the Fourth Proportional to 409,889.22, 614,840.09 and 185,092.95

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Solution

The fourth proportional to 409,889.22, 614,840.09 and 185,092.95 is: 277,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,889.22 : 614,840.09 = 185,092.95 : x
  2. Step 2: Convert to fraction form
    409,889.22/614,840.09 = 185,092.95/x
  3. Step 3: Cross multiply
    409,889.22x = 614,840.09 × 185,092.95
  4. Step 4: Simplify right side
    409,889.22x = 113,802,567,416.55
  5. Step 5: Solve for x
    x = 113,802,567,416.55/409,889.22
  6. Step 6: Final answer
    x = 277,642.26

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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.