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Finding the Fourth Proportional to 585,616.80, 878,463.60 and 164,906.40

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Solution

The fourth proportional to 585,616.80, 878,463.60 and 164,906.40 is: 247,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,616.80 : 878,463.60 = 164,906.40 : x
  2. Step 2: Convert to fraction form
    585,616.80/878,463.60 = 164,906.40/x
  3. Step 3: Cross multiply
    585,616.80x = 878,463.60 × 164,906.40
  4. Step 4: Simplify right side
    585,616.80x = 144,864,269,807.04
  5. Step 5: Solve for x
    x = 144,864,269,807.04/585,616.80
  6. Step 6: Final answer
    x = 247,370.41

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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.