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Finding the Fourth Proportional to 416,724, 625,191.84 and 121,236

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Solution

The fourth proportional to 416,724, 625,191.84 and 121,236 is: 181,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,724 : 625,191.84 = 121,236 : x
  2. Step 2: Convert to fraction form
    416,724/625,191.84 = 121,236/x
  3. Step 3: Cross multiply
    416,724x = 625,191.84 × 121,236
  4. Step 4: Simplify right side
    416,724x = 75,795,757,914.24
  5. Step 5: Solve for x
    x = 75,795,757,914.24/416,724
  6. Step 6: Final answer
    x = 181,884.79

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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.