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Finding the Fourth Proportional to 358,984.39, 495,392.53 and 206,016.31

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Solution

The fourth proportional to 358,984.39, 495,392.53 and 206,016.31 is: 284,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,984.39 : 495,392.53 = 206,016.31 : x
  2. Step 2: Convert to fraction form
    358,984.39/495,392.53 = 206,016.31/x
  3. Step 3: Cross multiply
    358,984.39x = 495,392.53 × 206,016.31
  4. Step 4: Simplify right side
    358,984.39x = 102,058,941,032.16
  5. Step 5: Solve for x
    x = 102,058,941,032.16/358,984.39
  6. Step 6: Final answer
    x = 284,299.11

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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.