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Finding the Fourth Proportional to 355,419, 533,212.74 and 106,107.48

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Solution

The fourth proportional to 355,419, 533,212.74 and 106,107.48 is: 159,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,419 : 533,212.74 = 106,107.48 : x
  2. Step 2: Convert to fraction form
    355,419/533,212.74 = 106,107.48/x
  3. Step 3: Cross multiply
    355,419x = 533,212.74 × 106,107.48
  4. Step 4: Simplify right side
    355,419x = 56,577,860,145.30
  5. Step 5: Solve for x
    x = 56,577,860,145.30/355,419
  6. Step 6: Final answer
    x = 159,186.37

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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.