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Finding the Fourth Proportional to 286,214.48, 394,838.76 and 201,378.32

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Solution

The fourth proportional to 286,214.48, 394,838.76 and 201,378.32 is: 277,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,214.48 : 394,838.76 = 201,378.32 : x
  2. Step 2: Convert to fraction form
    286,214.48/394,838.76 = 201,378.32/x
  3. Step 3: Cross multiply
    286,214.48x = 394,838.76 × 201,378.32
  4. Step 4: Simplify right side
    286,214.48x = 79,511,966,159.68
  5. Step 5: Solve for x
    x = 79,511,966,159.68/286,214.48
  6. Step 6: Final answer
    x = 277,805.53

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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.