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Finding the Fourth Proportional to 427,509.36, 589,941.36 and 233,912.88

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Solution

The fourth proportional to 427,509.36, 589,941.36 and 233,912.88 is: 322,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,509.36 : 589,941.36 = 233,912.88 : x
  2. Step 2: Convert to fraction form
    427,509.36/589,941.36 = 233,912.88/x
  3. Step 3: Cross multiply
    427,509.36x = 589,941.36 × 233,912.88
  4. Step 4: Simplify right side
    427,509.36x = 137,994,882,548.72
  5. Step 5: Solve for x
    x = 137,994,882,548.72/427,509.36
  6. Step 6: Final answer
    x = 322,787.98

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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.