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Finding the Fourth Proportional to 305,434.20, 421,479.14 and 169,467.78

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Solution

The fourth proportional to 305,434.20, 421,479.14 and 169,467.78 is: 233,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,434.20 : 421,479.14 = 169,467.78 : x
  2. Step 2: Convert to fraction form
    305,434.20/421,479.14 = 169,467.78/x
  3. Step 3: Cross multiply
    305,434.20x = 421,479.14 × 169,467.78
  4. Step 4: Simplify right side
    305,434.20x = 71,427,133,324.77
  5. Step 5: Solve for x
    x = 71,427,133,324.77/305,434.20
  6. Step 6: Final answer
    x = 233,854.41

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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.