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Finding the Fourth Proportional to 510,645.62, 704,584.14 and 295,772.88

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Solution

The fourth proportional to 510,645.62, 704,584.14 and 295,772.88 is: 408,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.62 : 704,584.14 = 295,772.88 : x
  2. Step 2: Convert to fraction form
    510,645.62/704,584.14 = 295,772.88/x
  3. Step 3: Cross multiply
    510,645.62x = 704,584.14 × 295,772.88
  4. Step 4: Simplify right side
    510,645.62x = 208,396,880,290.12
  5. Step 5: Solve for x
    x = 208,396,880,290.12/510,645.62
  6. Step 6: Final answer
    x = 408,104.71

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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.