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Finding the Fourth Proportional to 329,994.74, 494,912.81 and 152,331.10

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Solution

The fourth proportional to 329,994.74, 494,912.81 and 152,331.10 is: 228,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,994.74 : 494,912.81 = 152,331.10 : x
  2. Step 2: Convert to fraction form
    329,994.74/494,912.81 = 152,331.10/x
  3. Step 3: Cross multiply
    329,994.74x = 494,912.81 × 152,331.10
  4. Step 4: Simplify right side
    329,994.74x = 75,390,612,751.39
  5. Step 5: Solve for x
    x = 75,390,612,751.39/329,994.74
  6. Step 6: Final answer
    x = 228,460.04

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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.