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Finding the Fourth Proportional to 434,814.02, 652,224.50 and 178,580.57

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Solution

The fourth proportional to 434,814.02, 652,224.50 and 178,580.57 is: 267,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,814.02 : 652,224.50 = 178,580.57 : x
  2. Step 2: Convert to fraction form
    434,814.02/652,224.50 = 178,580.57/x
  3. Step 3: Cross multiply
    434,814.02x = 652,224.50 × 178,580.57
  4. Step 4: Simplify right side
    434,814.02x = 116,474,622,977.97
  5. Step 5: Solve for x
    x = 116,474,622,977.97/434,814.02
  6. Step 6: Final answer
    x = 267,872.28

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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.