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Finding the Fourth Proportional to 416,076.80, 624,115.20 and 404,412.80

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Solution

The fourth proportional to 416,076.80, 624,115.20 and 404,412.80 is: 606,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.80 : 624,115.20 = 404,412.80 : x
  2. Step 2: Convert to fraction form
    416,076.80/624,115.20 = 404,412.80/x
  3. Step 3: Cross multiply
    416,076.80x = 624,115.20 × 404,412.80
  4. Step 4: Simplify right side
    416,076.80x = 252,400,175,554.56
  5. Step 5: Solve for x
    x = 252,400,175,554.56/416,076.80
  6. Step 6: Final answer
    x = 606,619.20

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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.