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Finding the Fourth Proportional to 336,134, 463,864.92 and 185,231

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Solution

The fourth proportional to 336,134, 463,864.92 and 185,231 is: 255,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,134 : 463,864.92 = 185,231 : x
  2. Step 2: Convert to fraction form
    336,134/463,864.92 = 185,231/x
  3. Step 3: Cross multiply
    336,134x = 463,864.92 × 185,231
  4. Step 4: Simplify right side
    336,134x = 85,922,162,996.52
  5. Step 5: Solve for x
    x = 85,922,162,996.52/336,134
  6. Step 6: Final answer
    x = 255,618.78

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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.