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Finding the Fourth Proportional to 416,199.36, 624,299.34 and 100,656.57

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Solution

The fourth proportional to 416,199.36, 624,299.34 and 100,656.57 is: 150,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,199.36 : 624,299.34 = 100,656.57 : x
  2. Step 2: Convert to fraction form
    416,199.36/624,299.34 = 100,656.57/x
  3. Step 3: Cross multiply
    416,199.36x = 624,299.34 × 100,656.57
  4. Step 4: Simplify right side
    416,199.36x = 62,839,830,217.66
  5. Step 5: Solve for x
    x = 62,839,830,217.66/416,199.36
  6. Step 6: Final answer
    x = 150,984.93

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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.