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Finding the Fourth Proportional to 585,770.09, 878,318.82 and 230,590.35

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Solution

The fourth proportional to 585,770.09, 878,318.82 and 230,590.35 is: 345,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,770.09 : 878,318.82 = 230,590.35 : x
  2. Step 2: Convert to fraction form
    585,770.09/878,318.82 = 230,590.35/x
  3. Step 3: Cross multiply
    585,770.09x = 878,318.82 × 230,590.35
  4. Step 4: Simplify right side
    585,770.09x = 202,531,844,115.39
  5. Step 5: Solve for x
    x = 202,531,844,115.39/585,770.09
  6. Step 6: Final answer
    x = 345,753.14

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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.