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Finding the Fourth Proportional to 302,620.62, 417,597.21 and 181,767

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Solution

The fourth proportional to 302,620.62, 417,597.21 and 181,767 is: 250,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,620.62 : 417,597.21 = 181,767 : x
  2. Step 2: Convert to fraction form
    302,620.62/417,597.21 = 181,767/x
  3. Step 3: Cross multiply
    302,620.62x = 417,597.21 × 181,767
  4. Step 4: Simplify right side
    302,620.62x = 75,905,392,070.07
  5. Step 5: Solve for x
    x = 75,905,392,070.07/302,620.62
  6. Step 6: Final answer
    x = 250,826.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.