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Finding the Fourth Proportional to 283,379.30, 424,084.80 and 194,805.80

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Solution

The fourth proportional to 283,379.30, 424,084.80 and 194,805.80 is: 291,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,379.30 : 424,084.80 = 194,805.80 : x
  2. Step 2: Convert to fraction form
    283,379.30/424,084.80 = 194,805.80/x
  3. Step 3: Cross multiply
    283,379.30x = 424,084.80 × 194,805.80
  4. Step 4: Simplify right side
    283,379.30x = 82,614,178,731.84
  5. Step 5: Solve for x
    x = 82,614,178,731.84/283,379.30
  6. Step 6: Final answer
    x = 291,532.16

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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.