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Finding the Fourth Proportional to 358,871.29, 495,253.56 and 205,937.49

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Solution

The fourth proportional to 358,871.29, 495,253.56 and 205,937.49 is: 284,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,871.29 : 495,253.56 = 205,937.49 : x
  2. Step 2: Convert to fraction form
    358,871.29/495,253.56 = 205,937.49/x
  3. Step 3: Cross multiply
    358,871.29x = 495,253.56 × 205,937.49
  4. Step 4: Simplify right side
    358,871.29x = 101,991,275,059.96
  5. Step 5: Solve for x
    x = 101,991,275,059.96/358,871.29
  6. Step 6: Final answer
    x = 284,200.15

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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.