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Finding the Fourth Proportional to 405,378.84, 559,365.68 and 233,231.42

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Solution

The fourth proportional to 405,378.84, 559,365.68 and 233,231.42 is: 321,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,378.84 : 559,365.68 = 233,231.42 : x
  2. Step 2: Convert to fraction form
    405,378.84/559,365.68 = 233,231.42/x
  3. Step 3: Cross multiply
    405,378.84x = 559,365.68 × 233,231.42
  4. Step 4: Simplify right side
    405,378.84x = 130,461,651,845.67
  5. Step 5: Solve for x
    x = 130,461,651,845.67/405,378.84
  6. Step 6: Final answer
    x = 321,826.50

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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.