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Finding the Fourth Proportional to 410,782.38, 616,251.32 and 189,166.38

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Solution

The fourth proportional to 410,782.38, 616,251.32 and 189,166.38 is: 283,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,782.38 : 616,251.32 = 189,166.38 : x
  2. Step 2: Convert to fraction form
    410,782.38/616,251.32 = 189,166.38/x
  3. Step 3: Cross multiply
    410,782.38x = 616,251.32 × 189,166.38
  4. Step 4: Simplify right side
    410,782.38x = 116,574,031,374.62
  5. Step 5: Solve for x
    x = 116,574,031,374.62/410,782.38
  6. Step 6: Final answer
    x = 283,785.37

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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.