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Finding the Fourth Proportional to 283,503.70, 424,672.35 and 194,857.30

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Solution

The fourth proportional to 283,503.70, 424,672.35 and 194,857.30 is: 291,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,503.70 : 424,672.35 = 194,857.30 : x
  2. Step 2: Convert to fraction form
    283,503.70/424,672.35 = 194,857.30/x
  3. Step 3: Cross multiply
    283,503.70x = 424,672.35 × 194,857.30
  4. Step 4: Simplify right side
    283,503.70x = 82,750,507,505.66
  5. Step 5: Solve for x
    x = 82,750,507,505.66/283,503.70
  6. Step 6: Final answer
    x = 291,885.11

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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.