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Finding the Fourth Proportional to 356,134.70, 491,471.75 and 194,987.09

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Solution

The fourth proportional to 356,134.70, 491,471.75 and 194,987.09 is: 269,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,134.70 : 491,471.75 = 194,987.09 : x
  2. Step 2: Convert to fraction form
    356,134.70/491,471.75 = 194,987.09/x
  3. Step 3: Cross multiply
    356,134.70x = 491,471.75 × 194,987.09
  4. Step 4: Simplify right side
    356,134.70x = 95,830,646,349.71
  5. Step 5: Solve for x
    x = 95,830,646,349.71/356,134.70
  6. Step 6: Final answer
    x = 269,085.39

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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.