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Finding the Fourth Proportional to 343,935.06, 515,727.12 and 202,057.56

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Solution

The fourth proportional to 343,935.06, 515,727.12 and 202,057.56 is: 302,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,935.06 : 515,727.12 = 202,057.56 : x
  2. Step 2: Convert to fraction form
    343,935.06/515,727.12 = 202,057.56/x
  3. Step 3: Cross multiply
    343,935.06x = 515,727.12 × 202,057.56
  4. Step 4: Simplify right side
    343,935.06x = 104,206,563,493.03
  5. Step 5: Solve for x
    x = 104,206,563,493.03/343,935.06
  6. Step 6: Final answer
    x = 302,983.25

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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.