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Finding the Fourth Proportional to 492,123.70, 738,513.60 and 225,747.10

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Solution

The fourth proportional to 492,123.70, 738,513.60 and 225,747.10 is: 338,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,123.70 : 738,513.60 = 225,747.10 : x
  2. Step 2: Convert to fraction form
    492,123.70/738,513.60 = 225,747.10/x
  3. Step 3: Cross multiply
    492,123.70x = 738,513.60 × 225,747.10
  4. Step 4: Simplify right side
    492,123.70x = 166,717,303,510.56
  5. Step 5: Solve for x
    x = 166,717,303,510.56/492,123.70
  6. Step 6: Final answer
    x = 338,771.13

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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.