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Finding the Fourth Proportional to 654,121.80, 981,215.10 and 339,193.80

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Solution

The fourth proportional to 654,121.80, 981,215.10 and 339,193.80 is: 508,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,121.80 : 981,215.10 = 339,193.80 : x
  2. Step 2: Convert to fraction form
    654,121.80/981,215.10 = 339,193.80/x
  3. Step 3: Cross multiply
    654,121.80x = 981,215.10 × 339,193.80
  4. Step 4: Simplify right side
    654,121.80x = 332,822,078,386.38
  5. Step 5: Solve for x
    x = 332,822,078,386.38/654,121.80
  6. Step 6: Final answer
    x = 508,807.50

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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.