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Finding the Fourth Proportional to 386,696.70, 580,072.68 and 161,830.71

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Solution

The fourth proportional to 386,696.70, 580,072.68 and 161,830.71 is: 242,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,696.70 : 580,072.68 = 161,830.71 : x
  2. Step 2: Convert to fraction form
    386,696.70/580,072.68 = 161,830.71/x
  3. Step 3: Cross multiply
    386,696.70x = 580,072.68 × 161,830.71
  4. Step 4: Simplify right side
    386,696.70x = 93,873,573,656.00
  5. Step 5: Solve for x
    x = 93,873,573,656.00/386,696.70
  6. Step 6: Final answer
    x = 242,757.63

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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.