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Finding the Fourth Proportional to 300,755.92, 414,855.48 and 193,465.84

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Solution

The fourth proportional to 300,755.92, 414,855.48 and 193,465.84 is: 266,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,755.92 : 414,855.48 = 193,465.84 : x
  2. Step 2: Convert to fraction form
    300,755.92/414,855.48 = 193,465.84/x
  3. Step 3: Cross multiply
    300,755.92x = 414,855.48 × 193,465.84
  4. Step 4: Simplify right side
    300,755.92x = 80,260,363,916.80
  5. Step 5: Solve for x
    x = 80,260,363,916.80/300,755.92
  6. Step 6: Final answer
    x = 266,862.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.