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Finding the Fourth Proportional to 494,423.50, 741,195.42 and 178,810.24

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Solution

The fourth proportional to 494,423.50, 741,195.42 and 178,810.24 is: 268,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,423.50 : 741,195.42 = 178,810.24 : x
  2. Step 2: Convert to fraction form
    494,423.50/741,195.42 = 178,810.24/x
  3. Step 3: Cross multiply
    494,423.50x = 741,195.42 × 178,810.24
  4. Step 4: Simplify right side
    494,423.50x = 132,533,330,937.10
  5. Step 5: Solve for x
    x = 132,533,330,937.10/494,423.50
  6. Step 6: Final answer
    x = 268,056.29

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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.