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Finding the Fourth Proportional to 357,044.35, 492,721.16 and 204,085.81

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Solution

The fourth proportional to 357,044.35, 492,721.16 and 204,085.81 is: 281,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,044.35 : 492,721.16 = 204,085.81 : x
  2. Step 2: Convert to fraction form
    357,044.35/492,721.16 = 204,085.81/x
  3. Step 3: Cross multiply
    357,044.35x = 492,721.16 × 204,085.81
  4. Step 4: Simplify right side
    357,044.35x = 100,557,397,042.74
  5. Step 5: Solve for x
    x = 100,557,397,042.74/357,044.35
  6. Step 6: Final answer
    x = 281,638.39

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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.