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Finding the Fourth Proportional to 331,713, 457,764.06 and 188,473.20

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Solution

The fourth proportional to 331,713, 457,764.06 and 188,473.20 is: 260,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,713 : 457,764.06 = 188,473.20 : x
  2. Step 2: Convert to fraction form
    331,713/457,764.06 = 188,473.20/x
  3. Step 3: Cross multiply
    331,713x = 457,764.06 × 188,473.20
  4. Step 4: Simplify right side
    331,713x = 86,276,257,233.19
  5. Step 5: Solve for x
    x = 86,276,257,233.19/331,713
  6. Step 6: Final answer
    x = 260,093.08

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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.