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Finding the Fourth Proportional to 585,769.34, 878,317.70 and 230,589.60

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Solution

The fourth proportional to 585,769.34, 878,317.70 and 230,589.60 is: 345,752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,769.34 : 878,317.70 = 230,589.60 : x
  2. Step 2: Convert to fraction form
    585,769.34/878,317.70 = 230,589.60/x
  3. Step 3: Cross multiply
    585,769.34x = 878,317.70 × 230,589.60
  4. Step 4: Simplify right side
    585,769.34x = 202,530,925,962.97
  5. Step 5: Solve for x
    x = 202,530,925,962.97/585,769.34
  6. Step 6: Final answer
    x = 345,752.01

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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.