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Finding the Fourth Proportional to 329,823.60, 494,443.80 and 196,562.40

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Solution

The fourth proportional to 329,823.60, 494,443.80 and 196,562.40 is: 294,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,823.60 : 494,443.80 = 196,562.40 : x
  2. Step 2: Convert to fraction form
    329,823.60/494,443.80 = 196,562.40/x
  3. Step 3: Cross multiply
    329,823.60x = 494,443.80 × 196,562.40
  4. Step 4: Simplify right side
    329,823.60x = 97,189,059,993.12
  5. Step 5: Solve for x
    x = 97,189,059,993.12/329,823.60
  6. Step 6: Final answer
    x = 294,669.82

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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.