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Finding the Fourth Proportional to 275,357.06, 413,040.14 and 75,676.21

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Solution

The fourth proportional to 275,357.06, 413,040.14 and 75,676.21 is: 113,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,357.06 : 413,040.14 = 75,676.21 : x
  2. Step 2: Convert to fraction form
    275,357.06/413,040.14 = 75,676.21/x
  3. Step 3: Cross multiply
    275,357.06x = 413,040.14 × 75,676.21
  4. Step 4: Simplify right side
    275,357.06x = 31,257,312,373.07
  5. Step 5: Solve for x
    x = 31,257,312,373.07/275,357.06
  6. Step 6: Final answer
    x = 113,515.57

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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.