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Finding the Fourth Proportional to 652,093.92, 978,075.36 and 178,826.88

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Solution

The fourth proportional to 652,093.92, 978,075.36 and 178,826.88 is: 268,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,093.92 : 978,075.36 = 178,826.88 : x
  2. Step 2: Convert to fraction form
    652,093.92/978,075.36 = 178,826.88/x
  3. Step 3: Cross multiply
    652,093.92x = 978,075.36 × 178,826.88
  4. Step 4: Simplify right side
    652,093.92x = 174,906,165,033.68
  5. Step 5: Solve for x
    x = 174,906,165,033.68/652,093.92
  6. Step 6: Final answer
    x = 268,222.35

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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.