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Finding the Fourth Proportional to 376,770.29, 519,796.24 and 213,389.24

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Solution

The fourth proportional to 376,770.29, 519,796.24 and 213,389.24 is: 294,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,770.29 : 519,796.24 = 213,389.24 : x
  2. Step 2: Convert to fraction form
    376,770.29/519,796.24 = 213,389.24/x
  3. Step 3: Cross multiply
    376,770.29x = 519,796.24 × 213,389.24
  4. Step 4: Simplify right side
    376,770.29x = 110,918,921,476.00
  5. Step 5: Solve for x
    x = 110,918,921,476.00/376,770.29
  6. Step 6: Final answer
    x = 294,394.03

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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.