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Finding the Fourth Proportional to 416,771.41, 625,157.10 and 192,065.37

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Solution

The fourth proportional to 416,771.41, 625,157.10 and 192,065.37 is: 288,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,771.41 : 625,157.10 = 192,065.37 : x
  2. Step 2: Convert to fraction form
    416,771.41/625,157.10 = 192,065.37/x
  3. Step 3: Cross multiply
    416,771.41x = 625,157.10 × 192,065.37
  4. Step 4: Simplify right side
    416,771.41x = 120,071,029,719.63
  5. Step 5: Solve for x
    x = 120,071,029,719.63/416,771.41
  6. Step 6: Final answer
    x = 288,098.05

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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.