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Finding the Fourth Proportional to 504,408.39, 755,771.58 and 414,727.71

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Solution

The fourth proportional to 504,408.39, 755,771.58 and 414,727.71 is: 621,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,408.39 : 755,771.58 = 414,727.71 : x
  2. Step 2: Convert to fraction form
    504,408.39/755,771.58 = 414,727.71/x
  3. Step 3: Cross multiply
    504,408.39x = 755,771.58 × 414,727.71
  4. Step 4: Simplify right side
    504,408.39x = 313,439,416,656.48
  5. Step 5: Solve for x
    x = 313,439,416,656.48/504,408.39
  6. Step 6: Final answer
    x = 621,400.09

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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.