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Finding the Fourth Proportional to 331,344.51, 497,016.75 and 82,026.51

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Solution

The fourth proportional to 331,344.51, 497,016.75 and 82,026.51 is: 123,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,344.51 : 497,016.75 = 82,026.51 : x
  2. Step 2: Convert to fraction form
    331,344.51/497,016.75 = 82,026.51/x
  3. Step 3: Cross multiply
    331,344.51x = 497,016.75 × 82,026.51
  4. Step 4: Simplify right side
    331,344.51x = 40,768,549,414.04
  5. Step 5: Solve for x
    x = 40,768,549,414.04/331,344.51
  6. Step 6: Final answer
    x = 123,039.76

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1.5x scale

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.