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Finding the Fourth Proportional to 273,876.10, 410,814.15 and 76,884.10

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Solution

The fourth proportional to 273,876.10, 410,814.15 and 76,884.10 is: 115,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,876.10 : 410,814.15 = 76,884.10 : x
  2. Step 2: Convert to fraction form
    273,876.10/410,814.15 = 76,884.10/x
  3. Step 3: Cross multiply
    273,876.10x = 410,814.15 × 76,884.10
  4. Step 4: Simplify right side
    273,876.10x = 31,585,076,190.02
  5. Step 5: Solve for x
    x = 31,585,076,190.02/273,876.10
  6. Step 6: Final answer
    x = 115,326.15

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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.