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Finding the Fourth Proportional to 301,914.94, 452,470.53 and 159,729.87

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Solution

The fourth proportional to 301,914.94, 452,470.53 and 159,729.87 is: 239,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914.94 : 452,470.53 = 159,729.87 : x
  2. Step 2: Convert to fraction form
    301,914.94/452,470.53 = 159,729.87/x
  3. Step 3: Cross multiply
    301,914.94x = 452,470.53 × 159,729.87
  4. Step 4: Simplify right side
    301,914.94x = 72,273,058,935.73
  5. Step 5: Solve for x
    x = 72,273,058,935.73/301,914.94
  6. Step 6: Final answer
    x = 239,382.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.