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Finding the Fourth Proportional to 540,919.20, 811,455.60 and 166,903.20

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Solution

The fourth proportional to 540,919.20, 811,455.60 and 166,903.20 is: 250,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,919.20 : 811,455.60 = 166,903.20 : x
  2. Step 2: Convert to fraction form
    540,919.20/811,455.60 = 166,903.20/x
  3. Step 3: Cross multiply
    540,919.20x = 811,455.60 × 166,903.20
  4. Step 4: Simplify right side
    540,919.20x = 135,434,536,297.92
  5. Step 5: Solve for x
    x = 135,434,536,297.92/540,919.20
  6. Step 6: Final answer
    x = 250,378.50

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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.