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Finding the Fourth Proportional to 381,685.56, 526,740.78 and 211,951.68

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Solution

The fourth proportional to 381,685.56, 526,740.78 and 211,951.68 is: 292,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,685.56 : 526,740.78 = 211,951.68 : x
  2. Step 2: Convert to fraction form
    381,685.56/526,740.78 = 211,951.68/x
  3. Step 3: Cross multiply
    381,685.56x = 526,740.78 × 211,951.68
  4. Step 4: Simplify right side
    381,685.56x = 111,643,593,245.51
  5. Step 5: Solve for x
    x = 111,643,593,245.51/381,685.56
  6. Step 6: Final answer
    x = 292,501.49

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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.