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Finding the Fourth Proportional to 304,123.96, 456,263.70 and 126,571.96

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Solution

The fourth proportional to 304,123.96, 456,263.70 and 126,571.96 is: 189,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,123.96 : 456,263.70 = 126,571.96 : x
  2. Step 2: Convert to fraction form
    304,123.96/456,263.70 = 126,571.96/x
  3. Step 3: Cross multiply
    304,123.96x = 456,263.70 × 126,571.96
  4. Step 4: Simplify right side
    304,123.96x = 57,750,190,785.85
  5. Step 5: Solve for x
    x = 57,750,190,785.85/304,123.96
  6. Step 6: Final answer
    x = 189,890.30

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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.