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Finding the Fourth Proportional to 405,266.50, 559,302.33 and 226,453.06

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Solution

The fourth proportional to 405,266.50, 559,302.33 and 226,453.06 is: 312,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,266.50 : 559,302.33 = 226,453.06 : x
  2. Step 2: Convert to fraction form
    405,266.50/559,302.33 = 226,453.06/x
  3. Step 3: Cross multiply
    405,266.50x = 559,302.33 × 226,453.06
  4. Step 4: Simplify right side
    405,266.50x = 126,655,724,093.63
  5. Step 5: Solve for x
    x = 126,655,724,093.63/405,266.50
  6. Step 6: Final answer
    x = 312,524.53

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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.