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Finding the Fourth Proportional to 441,896.64, 659,506.56 and 411,933.12

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Solution

The fourth proportional to 441,896.64, 659,506.56 and 411,933.12 is: 614,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,896.64 : 659,506.56 = 411,933.12 : x
  2. Step 2: Convert to fraction form
    441,896.64/659,506.56 = 411,933.12/x
  3. Step 3: Cross multiply
    441,896.64x = 659,506.56 × 411,933.12
  4. Step 4: Simplify right side
    441,896.64x = 271,672,594,921.27
  5. Step 5: Solve for x
    x = 271,672,594,921.27/441,896.64
  6. Step 6: Final answer
    x = 614,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.