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Finding the Fourth Proportional to 384,172.44, 530,158.32 and 214,406.52

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Solution

The fourth proportional to 384,172.44, 530,158.32 and 214,406.52 is: 295,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.44 : 530,158.32 = 214,406.52 : x
  2. Step 2: Convert to fraction form
    384,172.44/530,158.32 = 214,406.52/x
  3. Step 3: Cross multiply
    384,172.44x = 530,158.32 × 214,406.52
  4. Step 4: Simplify right side
    384,172.44x = 113,669,400,440.25
  5. Step 5: Solve for x
    x = 113,669,400,440.25/384,172.44
  6. Step 6: Final answer
    x = 295,881.19

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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.