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Finding the Fourth Proportional to 384,201.20, 530,204.46 and 212,139.38

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Solution

The fourth proportional to 384,201.20, 530,204.46 and 212,139.38 is: 292,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201.20 : 530,204.46 = 212,139.38 : x
  2. Step 2: Convert to fraction form
    384,201.20/530,204.46 = 212,139.38/x
  3. Step 3: Cross multiply
    384,201.20x = 530,204.46 × 212,139.38
  4. Step 4: Simplify right side
    384,201.20x = 112,477,245,417.64
  5. Step 5: Solve for x
    x = 112,477,245,417.64/384,201.20
  6. Step 6: Final answer
    x = 292,756.10

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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.