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Finding the Fourth Proportional to 357,044.85, 492,721.85 and 204,086.31

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Solution

The fourth proportional to 357,044.85, 492,721.85 and 204,086.31 is: 281,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,044.85 : 492,721.85 = 204,086.31 : x
  2. Step 2: Convert to fraction form
    357,044.85/492,721.85 = 204,086.31/x
  3. Step 3: Cross multiply
    357,044.85x = 492,721.85 × 204,086.31
  4. Step 4: Simplify right side
    357,044.85x = 100,557,784,733.09
  5. Step 5: Solve for x
    x = 100,557,784,733.09/357,044.85
  6. Step 6: Final answer
    x = 281,639.08

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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.