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Finding the Fourth Proportional to 492,664.32, 738,244.80 and 256,083.84

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Solution

The fourth proportional to 492,664.32, 738,244.80 and 256,083.84 is: 383,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,664.32 : 738,244.80 = 256,083.84 : x
  2. Step 2: Convert to fraction form
    492,664.32/738,244.80 = 256,083.84/x
  3. Step 3: Cross multiply
    492,664.32x = 738,244.80 × 256,083.84
  4. Step 4: Simplify right side
    492,664.32x = 189,052,563,244.03
  5. Step 5: Solve for x
    x = 189,052,563,244.03/492,664.32
  6. Step 6: Final answer
    x = 383,735.04

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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.