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Finding the Fourth Proportional to 337,414.96, 465,633.59 and 184,455

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Solution

The fourth proportional to 337,414.96, 465,633.59 and 184,455 is: 254,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,414.96 : 465,633.59 = 184,455 : x
  2. Step 2: Convert to fraction form
    337,414.96/465,633.59 = 184,455/x
  3. Step 3: Cross multiply
    337,414.96x = 465,633.59 × 184,455
  4. Step 4: Simplify right side
    337,414.96x = 85,888,442,921.18
  5. Step 5: Solve for x
    x = 85,888,442,921.18/337,414.96
  6. Step 6: Final answer
    x = 254,548.41

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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.