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Finding the Fourth Proportional to 416,273, 624,438.72 and 166,955

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Solution

The fourth proportional to 416,273, 624,438.72 and 166,955 is: 250,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,273 : 624,438.72 = 166,955 : x
  2. Step 2: Convert to fraction form
    416,273/624,438.72 = 166,955/x
  3. Step 3: Cross multiply
    416,273x = 624,438.72 × 166,955
  4. Step 4: Simplify right side
    416,273x = 104,253,166,497.60
  5. Step 5: Solve for x
    x = 104,253,166,497.60/416,273
  6. Step 6: Final answer
    x = 250,444.22

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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.