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Finding the Fourth Proportional to 457,873.41, 686,801.93 and 187,942.94

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Solution

The fourth proportional to 457,873.41, 686,801.93 and 187,942.94 is: 281,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,873.41 : 686,801.93 = 187,942.94 : x
  2. Step 2: Convert to fraction form
    457,873.41/686,801.93 = 187,942.94/x
  3. Step 3: Cross multiply
    457,873.41x = 686,801.93 × 187,942.94
  4. Step 4: Simplify right side
    457,873.41x = 129,079,569,548.15
  5. Step 5: Solve for x
    x = 129,079,569,548.15/457,873.41
  6. Step 6: Final answer
    x = 281,911.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.