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Finding the Fourth Proportional to 253,400.90, 380,593.42 and 186,577.10

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Solution

The fourth proportional to 253,400.90, 380,593.42 and 186,577.10 is: 280,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,400.90 : 380,593.42 = 186,577.10 : x
  2. Step 2: Convert to fraction form
    253,400.90/380,593.42 = 186,577.10/x
  3. Step 3: Cross multiply
    253,400.90x = 380,593.42 × 186,577.10
  4. Step 4: Simplify right side
    253,400.90x = 71,010,016,582.68
  5. Step 5: Solve for x
    x = 71,010,016,582.68/253,400.90
  6. Step 6: Final answer
    x = 280,227.96

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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.