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Finding the Fourth Proportional to 585,771.09, 878,320.32 and 230,591.35

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Solution

The fourth proportional to 585,771.09, 878,320.32 and 230,591.35 is: 345,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,771.09 : 878,320.32 = 230,591.35 : x
  2. Step 2: Convert to fraction form
    585,771.09/878,320.32 = 230,591.35/x
  3. Step 3: Cross multiply
    585,771.09x = 878,320.32 × 230,591.35
  4. Step 4: Simplify right side
    585,771.09x = 202,533,068,321.23
  5. Step 5: Solve for x
    x = 202,533,068,321.23/585,771.09
  6. Step 6: Final answer
    x = 345,754.63

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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.