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Finding the Fourth Proportional to 496,068.96, 743,662.80 and 180,467.04

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Solution

The fourth proportional to 496,068.96, 743,662.80 and 180,467.04 is: 270,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,068.96 : 743,662.80 = 180,467.04 : x
  2. Step 2: Convert to fraction form
    496,068.96/743,662.80 = 180,467.04/x
  3. Step 3: Cross multiply
    496,068.96x = 743,662.80 × 180,467.04
  4. Step 4: Simplify right side
    496,068.96x = 134,206,624,274.11
  5. Step 5: Solve for x
    x = 134,206,624,274.11/496,068.96
  6. Step 6: Final answer
    x = 270,540.26

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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.