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Finding the Fourth Proportional to 419,627.34, 628,694.70 and 241,766.82

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Solution

The fourth proportional to 419,627.34, 628,694.70 and 241,766.82 is: 362,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,627.34 : 628,694.70 = 241,766.82 : x
  2. Step 2: Convert to fraction form
    419,627.34/628,694.70 = 241,766.82/x
  3. Step 3: Cross multiply
    419,627.34x = 628,694.70 × 241,766.82
  4. Step 4: Simplify right side
    419,627.34x = 151,997,518,369.85
  5. Step 5: Solve for x
    x = 151,997,518,369.85/419,627.34
  6. Step 6: Final answer
    x = 362,220.25

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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.