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Finding the Fourth Proportional to 416,128.80, 624,193.20 and 404,464.80

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Solution

The fourth proportional to 416,128.80, 624,193.20 and 404,464.80 is: 606,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,128.80 : 624,193.20 = 404,464.80 : x
  2. Step 2: Convert to fraction form
    416,128.80/624,193.20 = 404,464.80/x
  3. Step 3: Cross multiply
    416,128.80x = 624,193.20 × 404,464.80
  4. Step 4: Simplify right side
    416,128.80x = 252,464,177,799.36
  5. Step 5: Solve for x
    x = 252,464,177,799.36/416,128.80
  6. Step 6: Final answer
    x = 606,697.20

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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.