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Finding the Fourth Proportional to 329,827.20, 494,524.80 and 130,027.20

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Solution

The fourth proportional to 329,827.20, 494,524.80 and 130,027.20 is: 194,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,827.20 : 494,524.80 = 130,027.20 : x
  2. Step 2: Convert to fraction form
    329,827.20/494,524.80 = 130,027.20/x
  3. Step 3: Cross multiply
    329,827.20x = 494,524.80 × 130,027.20
  4. Step 4: Simplify right side
    329,827.20x = 64,301,675,074.56
  5. Step 5: Solve for x
    x = 64,301,675,074.56/329,827.20
  6. Step 6: Final answer
    x = 194,955.65

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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.