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Finding the Fourth Proportional to 463,224.30, 693,670.05 and 304,593.90

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Solution

The fourth proportional to 463,224.30, 693,670.05 and 304,593.90 is: 456,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,224.30 : 693,670.05 = 304,593.90 : x
  2. Step 2: Convert to fraction form
    463,224.30/693,670.05 = 304,593.90/x
  3. Step 3: Cross multiply
    463,224.30x = 693,670.05 × 304,593.90
  4. Step 4: Simplify right side
    463,224.30x = 211,287,665,842.70
  5. Step 5: Solve for x
    x = 211,287,665,842.70/463,224.30
  6. Step 6: Final answer
    x = 456,123.88

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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.