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Finding the Fourth Proportional to 332,974.40, 459,453.12 and 189,740.48

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Solution

The fourth proportional to 332,974.40, 459,453.12 and 189,740.48 is: 261,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,974.40 : 459,453.12 = 189,740.48 : x
  2. Step 2: Convert to fraction form
    332,974.40/459,453.12 = 189,740.48/x
  3. Step 3: Cross multiply
    332,974.40x = 459,453.12 × 189,740.48
  4. Step 4: Simplify right side
    332,974.40x = 87,176,855,526.30
  5. Step 5: Solve for x
    x = 87,176,855,526.30/332,974.40
  6. Step 6: Final answer
    x = 261,812.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.