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Finding the Fourth Proportional to 463,903.75, 694,674.34 and 305,652.43

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Solution

The fourth proportional to 463,903.75, 694,674.34 and 305,652.43 is: 457,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,903.75 : 694,674.34 = 305,652.43 : x
  2. Step 2: Convert to fraction form
    463,903.75/694,674.34 = 305,652.43/x
  3. Step 3: Cross multiply
    463,903.75x = 694,674.34 × 305,652.43
  4. Step 4: Simplify right side
    463,903.75x = 212,328,897,578.83
  5. Step 5: Solve for x
    x = 212,328,897,578.83/463,903.75
  6. Step 6: Final answer
    x = 457,700.33

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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.