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Finding the Fourth Proportional to 416,315.54, 624,474.93 and 100,771.94

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Solution

The fourth proportional to 416,315.54, 624,474.93 and 100,771.94 is: 151,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,315.54 : 624,474.93 = 100,771.94 : x
  2. Step 2: Convert to fraction form
    416,315.54/624,474.93 = 100,771.94/x
  3. Step 3: Cross multiply
    416,315.54x = 624,474.93 × 100,771.94
  4. Step 4: Simplify right side
    416,315.54x = 62,929,550,177.46
  5. Step 5: Solve for x
    x = 62,929,550,177.46/416,315.54
  6. Step 6: Final answer
    x = 151,158.30

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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.