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Finding the Fourth Proportional to 379,654.82, 523,901.13 and 209,878.82

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Solution

The fourth proportional to 379,654.82, 523,901.13 and 209,878.82 is: 289,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,654.82 : 523,901.13 = 209,878.82 : x
  2. Step 2: Convert to fraction form
    379,654.82/523,901.13 = 209,878.82/x
  3. Step 3: Cross multiply
    379,654.82x = 523,901.13 × 209,878.82
  4. Step 4: Simplify right side
    379,654.82x = 109,955,748,341.56
  5. Step 5: Solve for x
    x = 109,955,748,341.56/379,654.82
  6. Step 6: Final answer
    x = 289,620.32

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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.