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Finding the Fourth Proportional to 463,104.44, 693,757.63 and 341,303.66

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Solution

The fourth proportional to 463,104.44, 693,757.63 and 341,303.66 is: 511,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,104.44 : 693,757.63 = 341,303.66 : x
  2. Step 2: Convert to fraction form
    463,104.44/693,757.63 = 341,303.66/x
  3. Step 3: Cross multiply
    463,104.44x = 693,757.63 × 341,303.66
  4. Step 4: Simplify right side
    463,104.44x = 236,782,015,911.53
  5. Step 5: Solve for x
    x = 236,782,015,911.53/463,104.44
  6. Step 6: Final answer
    x = 511,292.91

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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.