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Finding the Fourth Proportional to 409,654.58, 613,670.82 and 193,216.90

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Solution

The fourth proportional to 409,654.58, 613,670.82 and 193,216.90 is: 289,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,654.58 : 613,670.82 = 193,216.90 : x
  2. Step 2: Convert to fraction form
    409,654.58/613,670.82 = 193,216.90/x
  3. Step 3: Cross multiply
    409,654.58x = 613,670.82 × 193,216.90
  4. Step 4: Simplify right side
    409,654.58x = 118,571,573,460.86
  5. Step 5: Solve for x
    x = 118,571,573,460.86/409,654.58
  6. Step 6: Final answer
    x = 289,442.81

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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.