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Finding the Fourth Proportional to 416,314.54, 624,473.43 and 100,770.94

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Solution

The fourth proportional to 416,314.54, 624,473.43 and 100,770.94 is: 151,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,314.54 : 624,473.43 = 100,770.94 : x
  2. Step 2: Convert to fraction form
    416,314.54/624,473.43 = 100,770.94/x
  3. Step 3: Cross multiply
    416,314.54x = 624,473.43 × 100,770.94
  4. Step 4: Simplify right side
    416,314.54x = 62,928,774,546.12
  5. Step 5: Solve for x
    x = 62,928,774,546.12/416,314.54
  6. Step 6: Final answer
    x = 151,156.80

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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.