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Finding the Fourth Proportional to 598,103.85, 825,447.33 and 365,667.17

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Solution

The fourth proportional to 598,103.85, 825,447.33 and 365,667.17 is: 504,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,103.85 : 825,447.33 = 365,667.17 : x
  2. Step 2: Convert to fraction form
    598,103.85/825,447.33 = 365,667.17/x
  3. Step 3: Cross multiply
    598,103.85x = 825,447.33 × 365,667.17
  4. Step 4: Simplify right side
    598,103.85x = 301,838,987,316.82
  5. Step 5: Solve for x
    x = 301,838,987,316.82/598,103.85
  6. Step 6: Final answer
    x = 504,659.83

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1.5x scale

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.