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Finding the Fourth Proportional to 357,978.52, 494,018.34 and 196,823.32

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Solution

The fourth proportional to 357,978.52, 494,018.34 and 196,823.32 is: 271,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,978.52 : 494,018.34 = 196,823.32 : x
  2. Step 2: Convert to fraction form
    357,978.52/494,018.34 = 196,823.32/x
  3. Step 3: Cross multiply
    357,978.52x = 494,018.34 × 196,823.32
  4. Step 4: Simplify right side
    357,978.52x = 97,234,329,819.69
  5. Step 5: Solve for x
    x = 97,234,329,819.69/357,978.52
  6. Step 6: Final answer
    x = 271,620.57

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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.