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Finding the Fourth Proportional to 283,321.80, 423,998.55 and 194,748.30

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Solution

The fourth proportional to 283,321.80, 423,998.55 and 194,748.30 is: 291,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,321.80 : 423,998.55 = 194,748.30 : x
  2. Step 2: Convert to fraction form
    283,321.80/423,998.55 = 194,748.30/x
  3. Step 3: Cross multiply
    283,321.80x = 423,998.55 × 194,748.30
  4. Step 4: Simplify right side
    283,321.80x = 82,572,996,814.97
  5. Step 5: Solve for x
    x = 82,572,996,814.97/283,321.80
  6. Step 6: Final answer
    x = 291,445.97

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1.5x scale

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.