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Finding the Fourth Proportional to 416,200.20, 624,185.10 and 166,907.40

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Solution

The fourth proportional to 416,200.20, 624,185.10 and 166,907.40 is: 250,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,200.20 : 624,185.10 = 166,907.40 : x
  2. Step 2: Convert to fraction form
    416,200.20/624,185.10 = 166,907.40/x
  3. Step 3: Cross multiply
    416,200.20x = 624,185.10 × 166,907.40
  4. Step 4: Simplify right side
    416,200.20x = 104,181,112,159.74
  5. Step 5: Solve for x
    x = 104,181,112,159.74/416,200.20
  6. Step 6: Final answer
    x = 250,314.90

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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.