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Finding the Fourth Proportional to 410,774.19, 616,213.22 and 140,954.88

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Solution

The fourth proportional to 410,774.19, 616,213.22 and 140,954.88 is: 211,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,774.19 : 616,213.22 = 140,954.88 : x
  2. Step 2: Convert to fraction form
    410,774.19/616,213.22 = 140,954.88/x
  3. Step 3: Cross multiply
    410,774.19x = 616,213.22 × 140,954.88
  4. Step 4: Simplify right side
    410,774.19x = 86,858,262,878.41
  5. Step 5: Solve for x
    x = 86,858,262,878.41/410,774.19
  6. Step 6: Final answer
    x = 211,450.15

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1.5x scale

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.