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Finding the Fourth Proportional to 378,421.05, 522,214.38 and 206,340.39

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Solution

The fourth proportional to 378,421.05, 522,214.38 and 206,340.39 is: 284,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,421.05 : 522,214.38 = 206,340.39 : x
  2. Step 2: Convert to fraction form
    378,421.05/522,214.38 = 206,340.39/x
  3. Step 3: Cross multiply
    378,421.05x = 522,214.38 × 206,340.39
  4. Step 4: Simplify right side
    378,421.05x = 107,753,918,832.81
  5. Step 5: Solve for x
    x = 107,753,918,832.81/378,421.05
  6. Step 6: Final answer
    x = 284,746.10

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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.