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Finding the Fourth Proportional to 343,926.07, 515,713.64 and 202,048.56

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Solution

The fourth proportional to 343,926.07, 515,713.64 and 202,048.56 is: 302,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,926.07 : 515,713.64 = 202,048.56 : x
  2. Step 2: Convert to fraction form
    343,926.07/515,713.64 = 202,048.56/x
  3. Step 3: Cross multiply
    343,926.07x = 515,713.64 × 202,048.56
  4. Step 4: Simplify right side
    343,926.07x = 104,199,197,324.12
  5. Step 5: Solve for x
    x = 104,199,197,324.12/343,926.07
  6. Step 6: Final answer
    x = 302,969.76

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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.