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Finding the Fourth Proportional to 367,172.04, 506,696.24 and 206,027.80

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Solution

The fourth proportional to 367,172.04, 506,696.24 and 206,027.80 is: 284,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,172.04 : 506,696.24 = 206,027.80 : x
  2. Step 2: Convert to fraction form
    367,172.04/506,696.24 = 206,027.80/x
  3. Step 3: Cross multiply
    367,172.04x = 506,696.24 × 206,027.80
  4. Step 4: Simplify right side
    367,172.04x = 104,393,511,595.47
  5. Step 5: Solve for x
    x = 104,393,511,595.47/367,172.04
  6. Step 6: Final answer
    x = 284,317.70

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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.