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Finding the Fourth Proportional to 378,907.80, 522,892.44 and 209,141.52

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Solution

The fourth proportional to 378,907.80, 522,892.44 and 209,141.52 is: 288,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.80 : 522,892.44 = 209,141.52 : x
  2. Step 2: Convert to fraction form
    378,907.80/522,892.44 = 209,141.52/x
  3. Step 3: Cross multiply
    378,907.80x = 522,892.44 × 209,141.52
  4. Step 4: Simplify right side
    378,907.80x = 109,358,519,698.11
  5. Step 5: Solve for x
    x = 109,358,519,698.11/378,907.80
  6. Step 6: Final answer
    x = 288,615.12

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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.