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Finding the Fourth Proportional to 617,540.82, 925,536.12 and 333,219.88

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Solution

The fourth proportional to 617,540.82, 925,536.12 and 333,219.88 is: 499,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,540.82 : 925,536.12 = 333,219.88 : x
  2. Step 2: Convert to fraction form
    617,540.82/925,536.12 = 333,219.88/x
  3. Step 3: Cross multiply
    617,540.82x = 925,536.12 × 333,219.88
  4. Step 4: Simplify right side
    617,540.82x = 308,407,034,842.07
  5. Step 5: Solve for x
    x = 308,407,034,842.07/617,540.82
  6. Step 6: Final answer
    x = 499,411.58

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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.