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Finding the Fourth Proportional to 337,202.56, 465,388.28 and 201,242.28

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Solution

The fourth proportional to 337,202.56, 465,388.28 and 201,242.28 is: 277,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,202.56 : 465,388.28 = 201,242.28 : x
  2. Step 2: Convert to fraction form
    337,202.56/465,388.28 = 201,242.28/x
  3. Step 3: Cross multiply
    337,202.56x = 465,388.28 × 201,242.28
  4. Step 4: Simplify right side
    337,202.56x = 93,655,798,552.48
  5. Step 5: Solve for x
    x = 93,655,798,552.48/337,202.56
  6. Step 6: Final answer
    x = 277,743.44

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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.