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Finding the Fourth Proportional to 416,201.60, 624,302.40 and 149,970.80

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Solution

The fourth proportional to 416,201.60, 624,302.40 and 149,970.80 is: 224,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,201.60 : 624,302.40 = 149,970.80 : x
  2. Step 2: Convert to fraction form
    416,201.60/624,302.40 = 149,970.80/x
  3. Step 3: Cross multiply
    416,201.60x = 624,302.40 × 149,970.80
  4. Step 4: Simplify right side
    416,201.60x = 93,627,130,369.92
  5. Step 5: Solve for x
    x = 93,627,130,369.92/416,201.60
  6. Step 6: Final answer
    x = 224,956.20

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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.