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Finding the Fourth Proportional to 416,200.60, 624,300.90 and 149,969.80

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Solution

The fourth proportional to 416,200.60, 624,300.90 and 149,969.80 is: 224,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,200.60 : 624,300.90 = 149,969.80 : x
  2. Step 2: Convert to fraction form
    416,200.60/624,300.90 = 149,969.80/x
  3. Step 3: Cross multiply
    416,200.60x = 624,300.90 × 149,969.80
  4. Step 4: Simplify right side
    416,200.60x = 93,626,281,112.82
  5. Step 5: Solve for x
    x = 93,626,281,112.82/416,200.60
  6. Step 6: Final answer
    x = 224,954.70

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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.