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Finding the Fourth Proportional to 378,893.92, 522,836.36 and 209,117.10

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Solution

The fourth proportional to 378,893.92, 522,836.36 and 209,117.10 is: 288,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,893.92 : 522,836.36 = 209,117.10 : x
  2. Step 2: Convert to fraction form
    378,893.92/522,836.36 = 209,117.10/x
  3. Step 3: Cross multiply
    378,893.92x = 522,836.36 × 209,117.10
  4. Step 4: Simplify right side
    378,893.92x = 109,334,023,377.76
  5. Step 5: Solve for x
    x = 109,334,023,377.76/378,893.92
  6. Step 6: Final answer
    x = 288,561.04

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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.