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Finding the Fourth Proportional to 356,098.72, 491,416.38 and 194,964.20

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Solution

The fourth proportional to 356,098.72, 491,416.38 and 194,964.20 is: 269,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,098.72 : 491,416.38 = 194,964.20 : x
  2. Step 2: Convert to fraction form
    356,098.72/491,416.38 = 194,964.20/x
  3. Step 3: Cross multiply
    356,098.72x = 491,416.38 × 194,964.20
  4. Step 4: Simplify right side
    356,098.72x = 95,808,601,393.60
  5. Step 5: Solve for x
    x = 95,808,601,393.60/356,098.72
  6. Step 6: Final answer
    x = 269,050.68

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1.5x scale

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.