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Finding the Fourth Proportional to 270,602.94, 404,245.11 and 195,078.54

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Solution

The fourth proportional to 270,602.94, 404,245.11 and 195,078.54 is: 291,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,602.94 : 404,245.11 = 195,078.54 : x
  2. Step 2: Convert to fraction form
    270,602.94/404,245.11 = 195,078.54/x
  3. Step 3: Cross multiply
    270,602.94x = 404,245.11 × 195,078.54
  4. Step 4: Simplify right side
    270,602.94x = 78,859,545,860.94
  5. Step 5: Solve for x
    x = 78,859,545,860.94/270,602.94
  6. Step 6: Final answer
    x = 291,421.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.