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Finding the Fourth Proportional to 585,418.88, 878,128.32 and 164,694.56

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Solution

The fourth proportional to 585,418.88, 878,128.32 and 164,694.56 is: 247,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,418.88 : 878,128.32 = 164,694.56 : x
  2. Step 2: Convert to fraction form
    585,418.88/878,128.32 = 164,694.56/x
  3. Step 3: Cross multiply
    585,418.88x = 878,128.32 × 164,694.56
  4. Step 4: Simplify right side
    585,418.88x = 144,622,957,285.94
  5. Step 5: Solve for x
    x = 144,622,957,285.94/585,418.88
  6. Step 6: Final answer
    x = 247,041.84

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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.