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Finding the Fourth Proportional to 402,238.60, 603,338.46 and 149,518.60

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Solution

The fourth proportional to 402,238.60, 603,338.46 and 149,518.60 is: 224,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,238.60 : 603,338.46 = 149,518.60 : x
  2. Step 2: Convert to fraction form
    402,238.60/603,338.46 = 149,518.60/x
  3. Step 3: Cross multiply
    402,238.60x = 603,338.46 × 149,518.60
  4. Step 4: Simplify right side
    402,238.60x = 90,210,321,865.36
  5. Step 5: Solve for x
    x = 90,210,321,865.36/402,238.60
  6. Step 6: Final answer
    x = 224,270.67

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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.