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Finding the Fourth Proportional to 384,166.20, 530,135.45 and 212,080.48

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Solution

The fourth proportional to 384,166.20, 530,135.45 and 212,080.48 is: 292,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,166.20 : 530,135.45 = 212,080.48 : x
  2. Step 2: Convert to fraction form
    384,166.20/530,135.45 = 212,080.48/x
  3. Step 3: Cross multiply
    384,166.20x = 530,135.45 × 212,080.48
  4. Step 4: Simplify right side
    384,166.20x = 112,431,379,110.58
  5. Step 5: Solve for x
    x = 112,431,379,110.58/384,166.20
  6. Step 6: Final answer
    x = 292,663.38

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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.