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Finding the Fourth Proportional to 374,214.09, 516,415.45 and 204,448.22

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Solution

The fourth proportional to 374,214.09, 516,415.45 and 204,448.22 is: 282,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,214.09 : 516,415.45 = 204,448.22 : x
  2. Step 2: Convert to fraction form
    374,214.09/516,415.45 = 204,448.22/x
  3. Step 3: Cross multiply
    374,214.09x = 516,415.45 × 204,448.22
  4. Step 4: Simplify right side
    374,214.09x = 105,580,218,759.70
  5. Step 5: Solve for x
    x = 105,580,218,759.70/374,214.09
  6. Step 6: Final answer
    x = 282,138.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.