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Finding the Fourth Proportional to 415,628.15, 622,452.61 and 265,403.12

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Solution

The fourth proportional to 415,628.15, 622,452.61 and 265,403.12 is: 397,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,628.15 : 622,452.61 = 265,403.12 : x
  2. Step 2: Convert to fraction form
    415,628.15/622,452.61 = 265,403.12/x
  3. Step 3: Cross multiply
    415,628.15x = 622,452.61 × 265,403.12
  4. Step 4: Simplify right side
    415,628.15x = 165,200,864,082.64
  5. Step 5: Solve for x
    x = 165,200,864,082.64/415,628.15
  6. Step 6: Final answer
    x = 397,472.75

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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.