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Finding the Fourth Proportional to 283,387.80, 424,097.55 and 194,814.30

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Solution

The fourth proportional to 283,387.80, 424,097.55 and 194,814.30 is: 291,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,387.80 : 424,097.55 = 194,814.30 : x
  2. Step 2: Convert to fraction form
    283,387.80/424,097.55 = 194,814.30/x
  3. Step 3: Cross multiply
    283,387.80x = 424,097.55 × 194,814.30
  4. Step 4: Simplify right side
    283,387.80x = 82,620,267,334.97
  5. Step 5: Solve for x
    x = 82,620,267,334.97/283,387.80
  6. Step 6: Final answer
    x = 291,544.90

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