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Finding the Fourth Proportional to 356,069.74, 491,384.90 and 194,924.30

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Solution

The fourth proportional to 356,069.74, 491,384.90 and 194,924.30 is: 269,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,069.74 : 491,384.90 = 194,924.30 : x
  2. Step 2: Convert to fraction form
    356,069.74/491,384.90 = 194,924.30/x
  3. Step 3: Cross multiply
    356,069.74x = 491,384.90 × 194,924.30
  4. Step 4: Simplify right side
    356,069.74x = 95,782,857,663.07
  5. Step 5: Solve for x
    x = 95,782,857,663.07/356,069.74
  6. Step 6: Final answer
    x = 269,000.27

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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.