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Finding the Fourth Proportional to 419,276.80, 628,915.20 and 416,166.40

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Solution

The fourth proportional to 419,276.80, 628,915.20 and 416,166.40 is: 624,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,276.80 : 628,915.20 = 416,166.40 : x
  2. Step 2: Convert to fraction form
    419,276.80/628,915.20 = 416,166.40/x
  3. Step 3: Cross multiply
    419,276.80x = 628,915.20 × 416,166.40
  4. Step 4: Simplify right side
    419,276.80x = 261,733,374,689.28
  5. Step 5: Solve for x
    x = 261,733,374,689.28/419,276.80
  6. Step 6: Final answer
    x = 624,249.60

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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.