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Finding the Fourth Proportional to 329,016.34, 454,039.05 and 185,767.84

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Solution

The fourth proportional to 329,016.34, 454,039.05 and 185,767.84 is: 256,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,016.34 : 454,039.05 = 185,767.84 : x
  2. Step 2: Convert to fraction form
    329,016.34/454,039.05 = 185,767.84/x
  3. Step 3: Cross multiply
    329,016.34x = 454,039.05 × 185,767.84
  4. Step 4: Simplify right side
    329,016.34x = 84,345,853,594.15
  5. Step 5: Solve for x
    x = 84,345,853,594.15/329,016.34
  6. Step 6: Final answer
    x = 256,357.64

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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.