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Finding the Fourth Proportional to 504,409.89, 755,773.83 and 414,729.21

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Solution

The fourth proportional to 504,409.89, 755,773.83 and 414,729.21 is: 621,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,409.89 : 755,773.83 = 414,729.21 : x
  2. Step 2: Convert to fraction form
    504,409.89/755,773.83 = 414,729.21/x
  3. Step 3: Cross multiply
    504,409.89x = 755,773.83 × 414,729.21
  4. Step 4: Simplify right side
    504,409.89x = 313,441,483,454.57
  5. Step 5: Solve for x
    x = 313,441,483,454.57/504,409.89
  6. Step 6: Final answer
    x = 621,402.34

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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.