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Finding the Fourth Proportional to 551,438.60, 827,255.10 and 196,658.60

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Solution

The fourth proportional to 551,438.60, 827,255.10 and 196,658.60 is: 295,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,438.60 : 827,255.10 = 196,658.60 : x
  2. Step 2: Convert to fraction form
    551,438.60/827,255.10 = 196,658.60/x
  3. Step 3: Cross multiply
    551,438.60x = 827,255.10 × 196,658.60
  4. Step 4: Simplify right side
    551,438.60x = 162,686,829,808.86
  5. Step 5: Solve for x
    x = 162,686,829,808.86/551,438.60
  6. Step 6: Final answer
    x = 295,022.56

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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.