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Finding the Fourth Proportional to 512,986.20, 769,406.40 and 176,042.40

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Solution

The fourth proportional to 512,986.20, 769,406.40 and 176,042.40 is: 264,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,986.20 : 769,406.40 = 176,042.40 : x
  2. Step 2: Convert to fraction form
    512,986.20/769,406.40 = 176,042.40/x
  3. Step 3: Cross multiply
    512,986.20x = 769,406.40 × 176,042.40
  4. Step 4: Simplify right side
    512,986.20x = 135,448,149,231.36
  5. Step 5: Solve for x
    x = 135,448,149,231.36/512,986.20
  6. Step 6: Final answer
    x = 264,038.58

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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.