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Finding the Fourth Proportional to 474,769.65, 655,190.24 and 293,476.91

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Solution

The fourth proportional to 474,769.65, 655,190.24 and 293,476.91 is: 405,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,769.65 : 655,190.24 = 293,476.91 : x
  2. Step 2: Convert to fraction form
    474,769.65/655,190.24 = 293,476.91/x
  3. Step 3: Cross multiply
    474,769.65x = 655,190.24 × 293,476.91
  4. Step 4: Simplify right side
    474,769.65x = 192,283,202,354.02
  5. Step 5: Solve for x
    x = 192,283,202,354.02/474,769.65
  6. Step 6: Final answer
    x = 405,003.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.