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Finding the Fourth Proportional to 380,705.39, 570,761.69 and 188,447.16

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Solution

The fourth proportional to 380,705.39, 570,761.69 and 188,447.16 is: 282,524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,705.39 : 570,761.69 = 188,447.16 : x
  2. Step 2: Convert to fraction form
    380,705.39/570,761.69 = 188,447.16/x
  3. Step 3: Cross multiply
    380,705.39x = 570,761.69 × 188,447.16
  4. Step 4: Simplify right side
    380,705.39x = 107,558,418,575.07
  5. Step 5: Solve for x
    x = 107,558,418,575.07/380,705.39
  6. Step 6: Final answer
    x = 282,524.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.