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Finding the Fourth Proportional to 397,114.24, 548,097.36 and 235,938.26

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Solution

The fourth proportional to 397,114.24, 548,097.36 and 235,938.26 is: 325,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114.24 : 548,097.36 = 235,938.26 : x
  2. Step 2: Convert to fraction form
    397,114.24/548,097.36 = 235,938.26/x
  3. Step 3: Cross multiply
    397,114.24x = 548,097.36 × 235,938.26
  4. Step 4: Simplify right side
    397,114.24x = 129,317,136,249.30
  5. Step 5: Solve for x
    x = 129,317,136,249.30/397,114.24
  6. Step 6: Final answer
    x = 325,642.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.