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Finding the Fourth Proportional to 382,403.62, 527,723.67 and 210,340.18

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Solution

The fourth proportional to 382,403.62, 527,723.67 and 210,340.18 is: 290,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,403.62 : 527,723.67 = 210,340.18 : x
  2. Step 2: Convert to fraction form
    382,403.62/527,723.67 = 210,340.18/x
  3. Step 3: Cross multiply
    382,403.62x = 527,723.67 × 210,340.18
  4. Step 4: Simplify right side
    382,403.62x = 111,001,491,738.06
  5. Step 5: Solve for x
    x = 111,001,491,738.06/382,403.62
  6. Step 6: Final answer
    x = 290,273.12

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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.