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Finding the Fourth Proportional to 463,853.88, 694,599.53 and 305,602.56

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Solution

The fourth proportional to 463,853.88, 694,599.53 and 305,602.56 is: 457,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,853.88 : 694,599.53 = 305,602.56 : x
  2. Step 2: Convert to fraction form
    463,853.88/694,599.53 = 305,602.56/x
  3. Step 3: Cross multiply
    463,853.88x = 694,599.53 × 305,602.56
  4. Step 4: Simplify right side
    463,853.88x = 212,271,393,014.78
  5. Step 5: Solve for x
    x = 212,271,393,014.78/463,853.88
  6. Step 6: Final answer
    x = 457,625.56

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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.