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Finding the Fourth Proportional to 410,842.35, 616,329.14 and 140,939.82

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Solution

The fourth proportional to 410,842.35, 616,329.14 and 140,939.82 is: 211,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,842.35 : 616,329.14 = 140,939.82 : x
  2. Step 2: Convert to fraction form
    410,842.35/616,329.14 = 140,939.82/x
  3. Step 3: Cross multiply
    410,842.35x = 616,329.14 × 140,939.82
  4. Step 4: Simplify right side
    410,842.35x = 86,865,317,347.66
  5. Step 5: Solve for x
    x = 86,865,317,347.66/410,842.35
  6. Step 6: Final answer
    x = 211,432.24

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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.