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Finding the Fourth Proportional to 585,812.20, 878,862.30 and 165,082.60

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Solution

The fourth proportional to 585,812.20, 878,862.30 and 165,082.60 is: 247,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,812.20 : 878,862.30 = 165,082.60 : x
  2. Step 2: Convert to fraction form
    585,812.20/878,862.30 = 165,082.60/x
  3. Step 3: Cross multiply
    585,812.20x = 878,862.30 × 165,082.60
  4. Step 4: Simplify right side
    585,812.20x = 145,084,873,525.98
  5. Step 5: Solve for x
    x = 145,084,873,525.98/585,812.20
  6. Step 6: Final answer
    x = 247,664.48

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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.