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Finding the Fourth Proportional to 335,003.04, 502,493.22 and 82,283.04

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Solution

The fourth proportional to 335,003.04, 502,493.22 and 82,283.04 is: 123,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,003.04 : 502,493.22 = 82,283.04 : x
  2. Step 2: Convert to fraction form
    335,003.04/502,493.22 = 82,283.04/x
  3. Step 3: Cross multiply
    335,003.04x = 502,493.22 × 82,283.04
  4. Step 4: Simplify right side
    335,003.04x = 41,346,669,720.99
  5. Step 5: Solve for x
    x = 41,346,669,720.99/335,003.04
  6. Step 6: Final answer
    x = 123,421.77

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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.