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Finding the Fourth Proportional to 329,783.36, 494,341.12 and 130,244.44

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Solution

The fourth proportional to 329,783.36, 494,341.12 and 130,244.44 is: 195,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,783.36 : 494,341.12 = 130,244.44 : x
  2. Step 2: Convert to fraction form
    329,783.36/494,341.12 = 130,244.44/x
  3. Step 3: Cross multiply
    329,783.36x = 494,341.12 × 130,244.44
  4. Step 4: Simplify right side
    329,783.36x = 64,385,182,343.37
  5. Step 5: Solve for x
    x = 64,385,182,343.37/329,783.36
  6. Step 6: Final answer
    x = 195,234.78

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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.