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Finding the Fourth Proportional to 410,858.60, 616,287.91 and 111,339.17

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Solution

The fourth proportional to 410,858.60, 616,287.91 and 111,339.17 is: 167,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858.60 : 616,287.91 = 111,339.17 : x
  2. Step 2: Convert to fraction form
    410,858.60/616,287.91 = 111,339.17/x
  3. Step 3: Cross multiply
    410,858.60x = 616,287.91 × 111,339.17
  4. Step 4: Simplify right side
    410,858.60x = 68,616,983,853.63
  5. Step 5: Solve for x
    x = 68,616,983,853.63/410,858.60
  6. Step 6: Final answer
    x = 167,008.76

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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.