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Finding the Fourth Proportional to 283,325.30, 424,003.80 and 194,751.80

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Solution

The fourth proportional to 283,325.30, 424,003.80 and 194,751.80 is: 291,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,325.30 : 424,003.80 = 194,751.80 : x
  2. Step 2: Convert to fraction form
    283,325.30/424,003.80 = 194,751.80/x
  3. Step 3: Cross multiply
    283,325.30x = 424,003.80 × 194,751.80
  4. Step 4: Simplify right side
    283,325.30x = 82,575,503,256.84
  5. Step 5: Solve for x
    x = 82,575,503,256.84/283,325.30
  6. Step 6: Final answer
    x = 291,451.22

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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.