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Finding the Fourth Proportional to 383,654.76, 529,437.78 and 213,884.52

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Solution

The fourth proportional to 383,654.76, 529,437.78 and 213,884.52 is: 295,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,654.76 : 529,437.78 = 213,884.52 : x
  2. Step 2: Convert to fraction form
    383,654.76/529,437.78 = 213,884.52/x
  3. Step 3: Cross multiply
    383,654.76x = 529,437.78 × 213,884.52
  4. Step 4: Simplify right side
    383,654.76x = 113,238,545,445.17
  5. Step 5: Solve for x
    x = 113,238,545,445.17/383,654.76
  6. Step 6: Final answer
    x = 295,157.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.