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Finding the Fourth Proportional to 295,448.28, 443,133.54 and 82,230.36

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Solution

The fourth proportional to 295,448.28, 443,133.54 and 82,230.36 is: 123,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,448.28 : 443,133.54 = 82,230.36 : x
  2. Step 2: Convert to fraction form
    295,448.28/443,133.54 = 82,230.36/x
  3. Step 3: Cross multiply
    295,448.28x = 443,133.54 × 82,230.36
  4. Step 4: Simplify right side
    295,448.28x = 36,439,030,522.27
  5. Step 5: Solve for x
    x = 36,439,030,522.27/295,448.28
  6. Step 6: Final answer
    x = 123,334.72

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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.