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Finding the Fourth Proportional to 296,256.36, 408,408.48 and 211,225.80

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Solution

The fourth proportional to 296,256.36, 408,408.48 and 211,225.80 is: 291,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,256.36 : 408,408.48 = 211,225.80 : x
  2. Step 2: Convert to fraction form
    296,256.36/408,408.48 = 211,225.80/x
  3. Step 3: Cross multiply
    296,256.36x = 408,408.48 × 211,225.80
  4. Step 4: Simplify right side
    296,256.36x = 86,266,407,914.78
  5. Step 5: Solve for x
    x = 86,266,407,914.78/296,256.36
  6. Step 6: Final answer
    x = 291,188.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.