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Finding the Fourth Proportional to 405,381.33, 559,369.13 and 233,233.92

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Solution

The fourth proportional to 405,381.33, 559,369.13 and 233,233.92 is: 321,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,381.33 : 559,369.13 = 233,233.92 : x
  2. Step 2: Convert to fraction form
    405,381.33/559,369.13 = 233,233.92/x
  3. Step 3: Cross multiply
    405,381.33x = 559,369.13 × 233,233.92
  4. Step 4: Simplify right side
    405,381.33x = 130,463,853,750.72
  5. Step 5: Solve for x
    x = 130,463,853,750.72/405,381.33
  6. Step 6: Final answer
    x = 321,829.95

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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.