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Finding the Fourth Proportional to 585,623.20, 878,578.80 and 164,893.60

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Solution

The fourth proportional to 585,623.20, 878,578.80 and 164,893.60 is: 247,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,623.20 : 878,578.80 = 164,893.60 : x
  2. Step 2: Convert to fraction form
    585,623.20/878,578.80 = 164,893.60/x
  3. Step 3: Cross multiply
    585,623.20x = 878,578.80 × 164,893.60
  4. Step 4: Simplify right side
    585,623.20x = 144,872,021,215.68
  5. Step 5: Solve for x
    x = 144,872,021,215.68/585,623.20
  6. Step 6: Final answer
    x = 247,380.95

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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.