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Finding the Fourth Proportional to 356,057.98, 491,359.97 and 194,913.14

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Solution

The fourth proportional to 356,057.98, 491,359.97 and 194,913.14 is: 268,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,057.98 : 491,359.97 = 194,913.14 : x
  2. Step 2: Convert to fraction form
    356,057.98/491,359.97 = 194,913.14/x
  3. Step 3: Cross multiply
    356,057.98x = 491,359.97 × 194,913.14
  4. Step 4: Simplify right side
    356,057.98x = 95,772,512,166.21
  5. Step 5: Solve for x
    x = 95,772,512,166.21/356,057.98
  6. Step 6: Final answer
    x = 268,980.10

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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.