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Finding the Fourth Proportional to 567,076.64, 850,631.36 and 212,022.86

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Solution

The fourth proportional to 567,076.64, 850,631.36 and 212,022.86 is: 318,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,076.64 : 850,631.36 = 212,022.86 : x
  2. Step 2: Convert to fraction form
    567,076.64/850,631.36 = 212,022.86/x
  3. Step 3: Cross multiply
    567,076.64x = 850,631.36 × 212,022.86
  4. Step 4: Simplify right side
    567,076.64x = 180,353,288,439.62
  5. Step 5: Solve for x
    x = 180,353,288,439.62/567,076.64
  6. Step 6: Final answer
    x = 318,040.42

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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.