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Finding the Fourth Proportional to 382,420.44, 573,631.74 and 116,183.16

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Solution

The fourth proportional to 382,420.44, 573,631.74 and 116,183.16 is: 174,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,420.44 : 573,631.74 = 116,183.16 : x
  2. Step 2: Convert to fraction form
    382,420.44/573,631.74 = 116,183.16/x
  3. Step 3: Cross multiply
    382,420.44x = 573,631.74 × 116,183.16
  4. Step 4: Simplify right side
    382,420.44x = 66,646,348,229.50
  5. Step 5: Solve for x
    x = 66,646,348,229.50/382,420.44
  6. Step 6: Final answer
    x = 174,275.07

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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.