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Finding the Fourth Proportional to 329,719.40, 494,708.70 and 130,005.80

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Solution

The fourth proportional to 329,719.40, 494,708.70 and 130,005.80 is: 195,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,719.40 : 494,708.70 = 130,005.80 : x
  2. Step 2: Convert to fraction form
    329,719.40/494,708.70 = 130,005.80/x
  3. Step 3: Cross multiply
    329,719.40x = 494,708.70 × 130,005.80
  4. Step 4: Simplify right side
    329,719.40x = 64,315,000,310.46
  5. Step 5: Solve for x
    x = 64,315,000,310.46/329,719.40
  6. Step 6: Final answer
    x = 195,059.80

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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.