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Finding the Fourth Proportional to 356,098.86, 491,416.54 and 194,964.14

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Solution

The fourth proportional to 356,098.86, 491,416.54 and 194,964.14 is: 269,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,098.86 : 491,416.54 = 194,964.14 : x
  2. Step 2: Convert to fraction form
    356,098.86/491,416.54 = 194,964.14/x
  3. Step 3: Cross multiply
    356,098.86x = 491,416.54 × 194,964.14
  4. Step 4: Simplify right side
    356,098.86x = 95,808,603,102.88
  5. Step 5: Solve for x
    x = 95,808,603,102.88/356,098.86
  6. Step 6: Final answer
    x = 269,050.58

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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.