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Finding the Fourth Proportional to 337,242.28, 505,918.32 and 157,507.44

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Solution

The fourth proportional to 337,242.28, 505,918.32 and 157,507.44 is: 236,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,242.28 : 505,918.32 = 157,507.44 : x
  2. Step 2: Convert to fraction form
    337,242.28/505,918.32 = 157,507.44/x
  3. Step 3: Cross multiply
    337,242.28x = 505,918.32 × 157,507.44
  4. Step 4: Simplify right side
    337,242.28x = 79,685,899,432.30
  5. Step 5: Solve for x
    x = 79,685,899,432.30/337,242.28
  6. Step 6: Final answer
    x = 236,286.80

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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.