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Finding the Fourth Proportional to 342,716.85, 513,677.84 and 202,593.33

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Solution

The fourth proportional to 342,716.85, 513,677.84 and 202,593.33 is: 303,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716.85 : 513,677.84 = 202,593.33 : x
  2. Step 2: Convert to fraction form
    342,716.85/513,677.84 = 202,593.33/x
  3. Step 3: Cross multiply
    342,716.85x = 513,677.84 × 202,593.33
  4. Step 4: Simplify right side
    342,716.85x = 104,067,703,139.84
  5. Step 5: Solve for x
    x = 104,067,703,139.84/342,716.85
  6. Step 6: Final answer
    x = 303,655.05

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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.