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Finding the Fourth Proportional to 463,301.90, 694,207.65 and 263,026.70

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Solution

The fourth proportional to 463,301.90, 694,207.65 and 263,026.70 is: 394,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,301.90 : 694,207.65 = 263,026.70 : x
  2. Step 2: Convert to fraction form
    463,301.90/694,207.65 = 263,026.70/x
  3. Step 3: Cross multiply
    463,301.90x = 694,207.65 × 263,026.70
  4. Step 4: Simplify right side
    463,301.90x = 182,595,147,294.26
  5. Step 5: Solve for x
    x = 182,595,147,294.26/463,301.90
  6. Step 6: Final answer
    x = 394,116.98

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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.