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Finding the Fourth Proportional to 391,082.51, 539,693.82 and 212,234.51

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Solution

The fourth proportional to 391,082.51, 539,693.82 and 212,234.51 is: 292,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,082.51 : 539,693.82 = 212,234.51 : x
  2. Step 2: Convert to fraction form
    391,082.51/539,693.82 = 212,234.51/x
  3. Step 3: Cross multiply
    391,082.51x = 539,693.82 × 212,234.51
  4. Step 4: Simplify right side
    391,082.51x = 114,541,654,786.96
  5. Step 5: Solve for x
    x = 114,541,654,786.96/391,082.51
  6. Step 6: Final answer
    x = 292,883.60

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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.