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Finding the Fourth Proportional to 510,645.12, 704,583.48 and 295,772.37

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Solution

The fourth proportional to 510,645.12, 704,583.48 and 295,772.37 is: 408,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.12 : 704,583.48 = 295,772.37 : x
  2. Step 2: Convert to fraction form
    510,645.12/704,583.48 = 295,772.37/x
  3. Step 3: Cross multiply
    510,645.12x = 704,583.48 × 295,772.37
  4. Step 4: Simplify right side
    510,645.12x = 208,396,325,742.45
  5. Step 5: Solve for x
    x = 208,396,325,742.45/510,645.12
  6. Step 6: Final answer
    x = 408,104.02

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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.