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Finding the Fourth Proportional to 357,044.60, 492,721.51 and 204,086.06

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Solution

The fourth proportional to 357,044.60, 492,721.51 and 204,086.06 is: 281,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,044.60 : 492,721.51 = 204,086.06 : x
  2. Step 2: Convert to fraction form
    357,044.60/492,721.51 = 204,086.06/x
  3. Step 3: Cross multiply
    357,044.60x = 492,721.51 × 204,086.06
  4. Step 4: Simplify right side
    357,044.60x = 100,557,591,142.94
  5. Step 5: Solve for x
    x = 100,557,591,142.94/357,044.60
  6. Step 6: Final answer
    x = 281,638.74

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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.