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Finding the Fourth Proportional to 312,235.70, 467,976.38 and 152,071.58

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Solution

The fourth proportional to 312,235.70, 467,976.38 and 152,071.58 is: 227,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,235.70 : 467,976.38 = 152,071.58 : x
  2. Step 2: Convert to fraction form
    312,235.70/467,976.38 = 152,071.58/x
  3. Step 3: Cross multiply
    312,235.70x = 467,976.38 × 152,071.58
  4. Step 4: Simplify right side
    312,235.70x = 71,165,907,509.28
  5. Step 5: Solve for x
    x = 71,165,907,509.28/312,235.70
  6. Step 6: Final answer
    x = 227,923.67

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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.