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Finding the Fourth Proportional to 283,387.30, 424,096.80 and 194,813.80

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Solution

The fourth proportional to 283,387.30, 424,096.80 and 194,813.80 is: 291,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,387.30 : 424,096.80 = 194,813.80 : x
  2. Step 2: Convert to fraction form
    283,387.30/424,096.80 = 194,813.80/x
  3. Step 3: Cross multiply
    283,387.30x = 424,096.80 × 194,813.80
  4. Step 4: Simplify right side
    283,387.30x = 82,619,909,175.84
  5. Step 5: Solve for x
    x = 82,619,909,175.84/283,387.30
  6. Step 6: Final answer
    x = 291,544.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.