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Finding the Fourth Proportional to 416,478.95, 624,718.41 and 100,935.86

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Solution

The fourth proportional to 416,478.95, 624,718.41 and 100,935.86 is: 151,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,478.95 : 624,718.41 = 100,935.86 : x
  2. Step 2: Convert to fraction form
    416,478.95/624,718.41 = 100,935.86/x
  3. Step 3: Cross multiply
    416,478.95x = 624,718.41 × 100,935.86
  4. Step 4: Simplify right side
    416,478.95x = 63,056,486,847.59
  5. Step 5: Solve for x
    x = 63,056,486,847.59/416,478.95
  6. Step 6: Final answer
    x = 151,403.78

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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.