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Finding the Fourth Proportional to 416,053.80, 624,080.70 and 411,906.60

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Solution

The fourth proportional to 416,053.80, 624,080.70 and 411,906.60 is: 617,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,053.80 : 624,080.70 = 411,906.60 : x
  2. Step 2: Convert to fraction form
    416,053.80/624,080.70 = 411,906.60/x
  3. Step 3: Cross multiply
    416,053.80x = 624,080.70 × 411,906.60
  4. Step 4: Simplify right side
    416,053.80x = 257,062,959,262.62
  5. Step 5: Solve for x
    x = 257,062,959,262.62/416,053.80
  6. Step 6: Final answer
    x = 617,859.90

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1.5x scale

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.