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Finding the Fourth Proportional to 416,198.86, 624,298.59 and 100,656.07

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Solution

The fourth proportional to 416,198.86, 624,298.59 and 100,656.07 is: 150,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,198.86 : 624,298.59 = 100,656.07 : x
  2. Step 2: Convert to fraction form
    416,198.86/624,298.59 = 100,656.07/x
  3. Step 3: Cross multiply
    416,198.86x = 624,298.59 × 100,656.07
  4. Step 4: Simplify right side
    416,198.86x = 62,839,441,015.19
  5. Step 5: Solve for x
    x = 62,839,441,015.19/416,198.86
  6. Step 6: Final answer
    x = 150,984.17

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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.