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Finding the Fourth Proportional to 357,978.64, 494,012.36 and 196,844.08

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Solution

The fourth proportional to 357,978.64, 494,012.36 and 196,844.08 is: 271,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,978.64 : 494,012.36 = 196,844.08 : x
  2. Step 2: Convert to fraction form
    357,978.64/494,012.36 = 196,844.08/x
  3. Step 3: Cross multiply
    357,978.64x = 494,012.36 × 196,844.08
  4. Step 4: Simplify right side
    357,978.64x = 97,243,408,512.83
  5. Step 5: Solve for x
    x = 97,243,408,512.83/357,978.64
  6. Step 6: Final answer
    x = 271,645.84

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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.