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Finding the Fourth Proportional to 378,337.29, 522,109.49 and 208,577.49

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Solution

The fourth proportional to 378,337.29, 522,109.49 and 208,577.49 is: 287,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,337.29 : 522,109.49 = 208,577.49 : x
  2. Step 2: Convert to fraction form
    378,337.29/522,109.49 = 208,577.49/x
  3. Step 3: Cross multiply
    378,337.29x = 522,109.49 × 208,577.49
  4. Step 4: Simplify right side
    378,337.29x = 108,900,286,929.38
  5. Step 5: Solve for x
    x = 108,900,286,929.38/378,337.29
  6. Step 6: Final answer
    x = 287,839.16

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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.