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Finding the Fourth Proportional to 356,066.84, 491,372.43 and 194,921.84

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Solution

The fourth proportional to 356,066.84, 491,372.43 and 194,921.84 is: 268,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,066.84 : 491,372.43 = 194,921.84 : x
  2. Step 2: Convert to fraction form
    356,066.84/491,372.43 = 194,921.84/x
  3. Step 3: Cross multiply
    356,066.84x = 491,372.43 × 194,921.84
  4. Step 4: Simplify right side
    356,066.84x = 95,779,218,678.35
  5. Step 5: Solve for x
    x = 95,779,218,678.35/356,066.84
  6. Step 6: Final answer
    x = 268,992.25

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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.