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Finding the Fourth Proportional to 305,443.61, 421,505.71 and 169,474.62

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Solution

The fourth proportional to 305,443.61, 421,505.71 and 169,474.62 is: 233,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,443.61 : 421,505.71 = 169,474.62 : x
  2. Step 2: Convert to fraction form
    305,443.61/421,505.71 = 169,474.62/x
  3. Step 3: Cross multiply
    305,443.61x = 421,505.71 × 169,474.62
  4. Step 4: Simplify right side
    305,443.61x = 71,434,519,606.39
  5. Step 5: Solve for x
    x = 71,434,519,606.39/305,443.61
  6. Step 6: Final answer
    x = 233,871.39

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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.