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Finding the Fourth Proportional to 383,543.46, 574,916.04 and 214,816.40

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Solution

The fourth proportional to 383,543.46, 574,916.04 and 214,816.40 is: 322,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,543.46 : 574,916.04 = 214,816.40 : x
  2. Step 2: Convert to fraction form
    383,543.46/574,916.04 = 214,816.40/x
  3. Step 3: Cross multiply
    383,543.46x = 574,916.04 × 214,816.40
  4. Step 4: Simplify right side
    383,543.46x = 123,501,394,015.06
  5. Step 5: Solve for x
    x = 123,501,394,015.06/383,543.46
  6. Step 6: Final answer
    x = 322,001.04

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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.