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Finding the Fourth Proportional to 415,629.15, 622,454.11 and 265,404.12

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Solution

The fourth proportional to 415,629.15, 622,454.11 and 265,404.12 is: 397,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,629.15 : 622,454.11 = 265,404.12 : x
  2. Step 2: Convert to fraction form
    415,629.15/622,454.11 = 265,404.12/x
  3. Step 3: Cross multiply
    415,629.15x = 622,454.11 × 265,404.12
  4. Step 4: Simplify right side
    415,629.15x = 165,201,885,304.93
  5. Step 5: Solve for x
    x = 165,201,885,304.93/415,629.15
  6. Step 6: Final answer
    x = 397,474.25

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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.