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Finding the Fourth Proportional to 384,140.58, 530,164.16 and 214,409.94

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Solution

The fourth proportional to 384,140.58, 530,164.16 and 214,409.94 is: 295,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.58 : 530,164.16 = 214,409.94 : x
  2. Step 2: Convert to fraction form
    384,140.58/530,164.16 = 214,409.94/x
  3. Step 3: Cross multiply
    384,140.58x = 530,164.16 × 214,409.94
  4. Step 4: Simplify right side
    384,140.58x = 113,672,465,735.75
  5. Step 5: Solve for x
    x = 113,672,465,735.75/384,140.58
  6. Step 6: Final answer
    x = 295,913.71

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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.