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Finding the Fourth Proportional to 416,519.01, 624,627.86 and 150,208.02

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Solution

The fourth proportional to 416,519.01, 624,627.86 and 150,208.02 is: 225,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,519.01 : 624,627.86 = 150,208.02 : x
  2. Step 2: Convert to fraction form
    416,519.01/624,627.86 = 150,208.02/x
  3. Step 3: Cross multiply
    416,519.01x = 624,627.86 × 150,208.02
  4. Step 4: Simplify right side
    416,519.01x = 93,824,113,336.40
  5. Step 5: Solve for x
    x = 93,824,113,336.40/416,519.01
  6. Step 6: Final answer
    x = 225,257.70

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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.