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Finding the Fourth Proportional to 397,684.84, 596,527.26 and 327,416.53

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Solution

The fourth proportional to 397,684.84, 596,527.26 and 327,416.53 is: 491,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684.84 : 596,527.26 = 327,416.53 : x
  2. Step 2: Convert to fraction form
    397,684.84/596,527.26 = 327,416.53/x
  3. Step 3: Cross multiply
    397,684.84x = 596,527.26 × 327,416.53
  4. Step 4: Simplify right side
    397,684.84x = 195,312,885,519.61
  5. Step 5: Solve for x
    x = 195,312,885,519.61/397,684.84
  6. Step 6: Final answer
    x = 491,124.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.