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Finding the Fourth Proportional to 405,965.34, 560,212.88 and 222,199.83

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Solution

The fourth proportional to 405,965.34, 560,212.88 and 222,199.83 is: 306,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,965.34 : 560,212.88 = 222,199.83 : x
  2. Step 2: Convert to fraction form
    405,965.34/560,212.88 = 222,199.83/x
  3. Step 3: Cross multiply
    405,965.34x = 560,212.88 × 222,199.83
  4. Step 4: Simplify right side
    405,965.34x = 124,479,205,588.81
  5. Step 5: Solve for x
    x = 124,479,205,588.81/405,965.34
  6. Step 6: Final answer
    x = 306,625.20

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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.