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Finding the Fourth Proportional to 512,267.12, 768,203.60 and 354,015.76

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Solution

The fourth proportional to 512,267.12, 768,203.60 and 354,015.76 is: 530,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.12 : 768,203.60 = 354,015.76 : x
  2. Step 2: Convert to fraction form
    512,267.12/768,203.60 = 354,015.76/x
  3. Step 3: Cross multiply
    512,267.12x = 768,203.60 × 354,015.76
  4. Step 4: Simplify right side
    512,267.12x = 271,956,181,288.74
  5. Step 5: Solve for x
    x = 271,956,181,288.74/512,267.12
  6. Step 6: Final answer
    x = 530,887.44

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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.