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Finding the Fourth Proportional to 354,377.40, 489,022.83 and 193,231.14

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Solution

The fourth proportional to 354,377.40, 489,022.83 and 193,231.14 is: 266,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,377.40 : 489,022.83 = 193,231.14 : x
  2. Step 2: Convert to fraction form
    354,377.40/489,022.83 = 193,231.14/x
  3. Step 3: Cross multiply
    354,377.40x = 489,022.83 × 193,231.14
  4. Step 4: Simplify right side
    354,377.40x = 94,494,438,926.93
  5. Step 5: Solve for x
    x = 94,494,438,926.93/354,377.40
  6. Step 6: Final answer
    x = 266,649.17

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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.