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Finding the Fourth Proportional to 416,179.20, 624,153.60 and 166,886.40

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Solution

The fourth proportional to 416,179.20, 624,153.60 and 166,886.40 is: 250,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,179.20 : 624,153.60 = 166,886.40 : x
  2. Step 2: Convert to fraction form
    416,179.20/624,153.60 = 166,886.40/x
  3. Step 3: Cross multiply
    416,179.20x = 624,153.60 × 166,886.40
  4. Step 4: Simplify right side
    416,179.20x = 104,162,747,351.04
  5. Step 5: Solve for x
    x = 104,162,747,351.04/416,179.20
  6. Step 6: Final answer
    x = 250,283.41

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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.