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Finding the Fourth Proportional to 411,124.41, 616,791.51 and 171,158.58

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Solution

The fourth proportional to 411,124.41, 616,791.51 and 171,158.58 is: 256,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,124.41 : 616,791.51 = 171,158.58 : x
  2. Step 2: Convert to fraction form
    411,124.41/616,791.51 = 171,158.58/x
  3. Step 3: Cross multiply
    411,124.41x = 616,791.51 × 171,158.58
  4. Step 4: Simplify right side
    411,124.41x = 105,569,159,007.66
  5. Step 5: Solve for x
    x = 105,569,159,007.66/411,124.41
  6. Step 6: Final answer
    x = 256,781.54

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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.