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Finding the Fourth Proportional to 329,609.60, 494,414.40 and 119,254.40

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Solution

The fourth proportional to 329,609.60, 494,414.40 and 119,254.40 is: 178,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,609.60 : 494,414.40 = 119,254.40 : x
  2. Step 2: Convert to fraction form
    329,609.60/494,414.40 = 119,254.40/x
  3. Step 3: Cross multiply
    329,609.60x = 494,414.40 × 119,254.40
  4. Step 4: Simplify right side
    329,609.60x = 58,961,092,623.36
  5. Step 5: Solve for x
    x = 58,961,092,623.36/329,609.60
  6. Step 6: Final answer
    x = 178,881.60

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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.