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Finding the Fourth Proportional to 299,639.52, 448,947.63 and 164,816.37

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Solution

The fourth proportional to 299,639.52, 448,947.63 and 164,816.37 is: 246,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,639.52 : 448,947.63 = 164,816.37 : x
  2. Step 2: Convert to fraction form
    299,639.52/448,947.63 = 164,816.37/x
  3. Step 3: Cross multiply
    299,639.52x = 448,947.63 × 164,816.37
  4. Step 4: Simplify right side
    299,639.52x = 73,993,918,696.70
  5. Step 5: Solve for x
    x = 73,993,918,696.70/299,639.52
  6. Step 6: Final answer
    x = 246,943.12

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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.