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Finding the Fourth Proportional to 261,343.40, 391,431.90 and 214,687.40

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Solution

The fourth proportional to 261,343.40, 391,431.90 and 214,687.40 is: 321,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,343.40 : 391,431.90 = 214,687.40 : x
  2. Step 2: Convert to fraction form
    261,343.40/391,431.90 = 214,687.40/x
  3. Step 3: Cross multiply
    261,343.40x = 391,431.90 × 214,687.40
  4. Step 4: Simplify right side
    261,343.40x = 84,035,496,888.06
  5. Step 5: Solve for x
    x = 84,035,496,888.06/261,343.40
  6. Step 6: Final answer
    x = 321,552.02

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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.