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Finding the Fourth Proportional to 405,391.98, 559,414.16 and 233,282.12

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Solution

The fourth proportional to 405,391.98, 559,414.16 and 233,282.12 is: 321,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,391.98 : 559,414.16 = 233,282.12 : x
  2. Step 2: Convert to fraction form
    405,391.98/559,414.16 = 233,282.12/x
  3. Step 3: Cross multiply
    405,391.98x = 559,414.16 × 233,282.12
  4. Step 4: Simplify right side
    405,391.98x = 130,501,321,202.82
  5. Step 5: Solve for x
    x = 130,501,321,202.82/405,391.98
  6. Step 6: Final answer
    x = 321,913.92

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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.