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Finding the Fourth Proportional to 552,848.88, 762,993.36 and 311,190.24

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Solution

The fourth proportional to 552,848.88, 762,993.36 and 311,190.24 is: 429,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,848.88 : 762,993.36 = 311,190.24 : x
  2. Step 2: Convert to fraction form
    552,848.88/762,993.36 = 311,190.24/x
  3. Step 3: Cross multiply
    552,848.88x = 762,993.36 × 311,190.24
  4. Step 4: Simplify right side
    552,848.88x = 237,436,086,816.81
  5. Step 5: Solve for x
    x = 237,436,086,816.81/552,848.88
  6. Step 6: Final answer
    x = 429,477.38

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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.