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Finding the Fourth Proportional to 511,053.54, 700,145.84 and 491,899.37

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Solution

The fourth proportional to 511,053.54, 700,145.84 and 491,899.37 is: 673,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,053.54 : 700,145.84 = 491,899.37 : x
  2. Step 2: Convert to fraction form
    511,053.54/700,145.84 = 491,899.37/x
  3. Step 3: Cross multiply
    511,053.54x = 700,145.84 × 491,899.37
  4. Step 4: Simplify right side
    511,053.54x = 344,401,295,333.14
  5. Step 5: Solve for x
    x = 344,401,295,333.14/511,053.54
  6. Step 6: Final answer
    x = 673,904.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.