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Finding the Fourth Proportional to 441,738.32, 662,685.40 and 161,646.80

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Solution

The fourth proportional to 441,738.32, 662,685.40 and 161,646.80 is: 242,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,738.32 : 662,685.40 = 161,646.80 : x
  2. Step 2: Convert to fraction form
    441,738.32/662,685.40 = 161,646.80/x
  3. Step 3: Cross multiply
    441,738.32x = 662,685.40 × 161,646.80
  4. Step 4: Simplify right side
    441,738.32x = 107,120,974,316.72
  5. Step 5: Solve for x
    x = 107,120,974,316.72/441,738.32
  6. Step 6: Final answer
    x = 242,498.71

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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.