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Finding the Fourth Proportional to 405,441.42, 559,597.98 and 235,773.42

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Solution

The fourth proportional to 405,441.42, 559,597.98 and 235,773.42 is: 325,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441.42 : 559,597.98 = 235,773.42 : x
  2. Step 2: Convert to fraction form
    405,441.42/559,597.98 = 235,773.42/x
  3. Step 3: Cross multiply
    405,441.42x = 559,597.98 × 235,773.42
  4. Step 4: Simplify right side
    405,441.42x = 131,938,329,569.69
  5. Step 5: Solve for x
    x = 131,938,329,569.69/405,441.42
  6. Step 6: Final answer
    x = 325,418.97

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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.