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Finding the Fourth Proportional to 384,213.02, 530,192.40 and 214,458.08

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Solution

The fourth proportional to 384,213.02, 530,192.40 and 214,458.08 is: 295,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,213.02 : 530,192.40 = 214,458.08 : x
  2. Step 2: Convert to fraction form
    384,213.02/530,192.40 = 214,458.08/x
  3. Step 3: Cross multiply
    384,213.02x = 530,192.40 × 214,458.08
  4. Step 4: Simplify right side
    384,213.02x = 113,704,044,134.59
  5. Step 5: Solve for x
    x = 113,704,044,134.59/384,213.02
  6. Step 6: Final answer
    x = 295,940.11

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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.