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Finding the Fourth Proportional to 382,234.28, 527,437.44 and 210,123.86

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Solution

The fourth proportional to 382,234.28, 527,437.44 and 210,123.86 is: 289,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,234.28 : 527,437.44 = 210,123.86 : x
  2. Step 2: Convert to fraction form
    382,234.28/527,437.44 = 210,123.86/x
  3. Step 3: Cross multiply
    382,234.28x = 527,437.44 × 210,123.86
  4. Step 4: Simplify right side
    382,234.28x = 110,827,188,164.13
  5. Step 5: Solve for x
    x = 110,827,188,164.13/382,234.28
  6. Step 6: Final answer
    x = 289,945.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.