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Finding the Fourth Proportional to 284,757.84, 393,047.82 and 188,032.32

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Solution

The fourth proportional to 284,757.84, 393,047.82 and 188,032.32 is: 259,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,757.84 : 393,047.82 = 188,032.32 : x
  2. Step 2: Convert to fraction form
    284,757.84/393,047.82 = 188,032.32/x
  3. Step 3: Cross multiply
    284,757.84x = 393,047.82 × 188,032.32
  4. Step 4: Simplify right side
    284,757.84x = 73,905,693,465.54
  5. Step 5: Solve for x
    x = 73,905,693,465.54/284,757.84
  6. Step 6: Final answer
    x = 259,538.75

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Why These Related Problems?

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