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Finding the Fourth Proportional to 368,882.90, 509,051.49 and 225,632.42

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Solution

The fourth proportional to 368,882.90, 509,051.49 and 225,632.42 is: 311,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,882.90 : 509,051.49 = 225,632.42 : x
  2. Step 2: Convert to fraction form
    368,882.90/509,051.49 = 225,632.42/x
  3. Step 3: Cross multiply
    368,882.90x = 509,051.49 × 225,632.42
  4. Step 4: Simplify right side
    368,882.90x = 114,858,519,593.31
  5. Step 5: Solve for x
    x = 114,858,519,593.31/368,882.90
  6. Step 6: Final answer
    x = 311,368.51

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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.