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Finding the Fourth Proportional to 416,972.34, 624,955.53 and 192,024.78

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Solution

The fourth proportional to 416,972.34, 624,955.53 and 192,024.78 is: 287,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,972.34 : 624,955.53 = 192,024.78 : x
  2. Step 2: Convert to fraction form
    416,972.34/624,955.53 = 192,024.78/x
  3. Step 3: Cross multiply
    416,972.34x = 624,955.53 × 192,024.78
  4. Step 4: Simplify right side
    416,972.34x = 120,006,948,158.03
  5. Step 5: Solve for x
    x = 120,006,948,158.03/416,972.34
  6. Step 6: Final answer
    x = 287,805.54

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Why These Related Problems?

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