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Finding the Fourth Proportional to 384,123.60, 530,037.60 and 214,324.80

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Solution

The fourth proportional to 384,123.60, 530,037.60 and 214,324.80 is: 295,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,123.60 : 530,037.60 = 214,324.80 : x
  2. Step 2: Convert to fraction form
    384,123.60/530,037.60 = 214,324.80/x
  3. Step 3: Cross multiply
    384,123.60x = 530,037.60 × 214,324.80
  4. Step 4: Simplify right side
    384,123.60x = 113,600,202,612.48
  5. Step 5: Solve for x
    x = 113,600,202,612.48/384,123.60
  6. Step 6: Final answer
    x = 295,738.67

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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.