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Finding the Fourth Proportional to 547,464.40, 821,657.40 and 267,221.20

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Solution

The fourth proportional to 547,464.40, 821,657.40 and 267,221.20 is: 401,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,464.40 : 821,657.40 = 267,221.20 : x
  2. Step 2: Convert to fraction form
    547,464.40/821,657.40 = 267,221.20/x
  3. Step 3: Cross multiply
    547,464.40x = 821,657.40 × 267,221.20
  4. Step 4: Simplify right side
    547,464.40x = 219,564,276,416.88
  5. Step 5: Solve for x
    x = 219,564,276,416.88/547,464.40
  6. Step 6: Final answer
    x = 401,056.72

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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.