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Finding the Fourth Proportional to 416,120.58, 624,033.26 and 149,809.59

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Solution

The fourth proportional to 416,120.58, 624,033.26 and 149,809.59 is: 224,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,120.58 : 624,033.26 = 149,809.59 : x
  2. Step 2: Convert to fraction form
    416,120.58/624,033.26 = 149,809.59/x
  3. Step 3: Cross multiply
    416,120.58x = 624,033.26 × 149,809.59
  4. Step 4: Simplify right side
    416,120.58x = 93,486,166,077.92
  5. Step 5: Solve for x
    x = 93,486,166,077.92/416,120.58
  6. Step 6: Final answer
    x = 224,661.24

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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.