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Finding the Fourth Proportional to 375,918.96, 518,758.92 and 203,827.44

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Solution

The fourth proportional to 375,918.96, 518,758.92 and 203,827.44 is: 281,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918.96 : 518,758.92 = 203,827.44 : x
  2. Step 2: Convert to fraction form
    375,918.96/518,758.92 = 203,827.44/x
  3. Step 3: Cross multiply
    375,918.96x = 518,758.92 × 203,827.44
  4. Step 4: Simplify right side
    375,918.96x = 105,737,302,640.77
  5. Step 5: Solve for x
    x = 105,737,302,640.77/375,918.96
  6. Step 6: Final answer
    x = 281,276.85

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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.