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Finding the Fourth Proportional to 508,101.26, 701,129.19 and 293,310.51

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Solution

The fourth proportional to 508,101.26, 701,129.19 and 293,310.51 is: 404,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.26 : 701,129.19 = 293,310.51 : x
  2. Step 2: Convert to fraction form
    508,101.26/701,129.19 = 293,310.51/x
  3. Step 3: Cross multiply
    508,101.26x = 701,129.19 × 293,310.51
  4. Step 4: Simplify right side
    508,101.26x = 205,648,560,294.79
  5. Step 5: Solve for x
    x = 205,648,560,294.79/508,101.26
  6. Step 6: Final answer
    x = 404,739.33

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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.