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Finding the Fourth Proportional to 494,382.55, 741,644.36 and 152,855.36

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Solution

The fourth proportional to 494,382.55, 741,644.36 and 152,855.36 is: 229,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,382.55 : 741,644.36 = 152,855.36 : x
  2. Step 2: Convert to fraction form
    494,382.55/741,644.36 = 152,855.36/x
  3. Step 3: Cross multiply
    494,382.55x = 741,644.36 × 152,855.36
  4. Step 4: Simplify right side
    494,382.55x = 113,364,315,639.77
  5. Step 5: Solve for x
    x = 113,364,315,639.77/494,382.55
  6. Step 6: Final answer
    x = 229,304.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.