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Finding the Fourth Proportional to 585,501.62, 878,122.83 and 164,664.50

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Solution

The fourth proportional to 585,501.62, 878,122.83 and 164,664.50 is: 246,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,501.62 : 878,122.83 = 164,664.50 : x
  2. Step 2: Convert to fraction form
    585,501.62/878,122.83 = 164,664.50/x
  3. Step 3: Cross multiply
    585,501.62x = 878,122.83 × 164,664.50
  4. Step 4: Simplify right side
    585,501.62x = 144,595,656,740.54
  5. Step 5: Solve for x
    x = 144,595,656,740.54/585,501.62
  6. Step 6: Final answer
    x = 246,960.30

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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.