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Finding the Fourth Proportional to 264,775.56, 397,163.16 and 107,004.12

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Solution

The fourth proportional to 264,775.56, 397,163.16 and 107,004.12 is: 160,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,775.56 : 397,163.16 = 107,004.12 : x
  2. Step 2: Convert to fraction form
    264,775.56/397,163.16 = 107,004.12/x
  3. Step 3: Cross multiply
    264,775.56x = 397,163.16 × 107,004.12
  4. Step 4: Simplify right side
    264,775.56x = 42,498,094,432.22
  5. Step 5: Solve for x
    x = 42,498,094,432.22/264,775.56
  6. Step 6: Final answer
    x = 160,506.11

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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.